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Finding the Third Proportional to 3,849,538,804,123.60 and 8,257,901,065,364.40

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Solution

The third proportional to 3,849,538,804,123.60 and 8,257,901,065,364.40 is: 17,714,571,400,682.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,538,804,123.60 : 8,257,901,065,364.40 = 8,257,901,065,364.40 : x
  2. Step 2: Convert to fraction form
    3,849,538,804,123.60/8,257,901,065,364.40 = 8,257,901,065,364.40/x
  3. Step 3: Cross multiply
    3,849,538,804,123.60x = 8,257,901,065,364.40 × 8,257,901,065,364.40
  4. Step 4: Simplify right side
    3,849,538,804,123.60x = 68,192,930,005,346,496,265,846,784
  5. Step 5: Solve for x
    x = 68,192,930,005,346,496,265,846,784/3,849,538,804,123.60
  6. Step 6: Final answer
    x = 17,714,571,400,682.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.