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Finding the Third Proportional to 3,849,538,803,999.80 and 8,257,901,065,117

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Solution

The third proportional to 3,849,538,803,999.80 and 8,257,901,065,117 is: 17,714,571,400,191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849,538,803,999.80 : 8,257,901,065,117 = 8,257,901,065,117 : x
  2. Step 2: Convert to fraction form
    3,849,538,803,999.80/8,257,901,065,117 = 8,257,901,065,117/x
  3. Step 3: Cross multiply
    3,849,538,803,999.80x = 8,257,901,065,117 × 8,257,901,065,117
  4. Step 4: Simplify right side
    3,849,538,803,999.80x = 68,192,930,001,260,479,128,797,184
  5. Step 5: Solve for x
    x = 68,192,930,001,260,479,128,797,184/3,849,538,803,999.80
  6. Step 6: Final answer
    x = 17,714,571,400,191.04

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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.