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Finding the Third Proportional to 901,218,046,472.60 and 1,933,262,617,886.20

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Solution

The third proportional to 901,218,046,472.60 and 1,933,262,617,886.20 is: 4,147,169,893,395.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,218,046,472.60 : 1,933,262,617,886.20 = 1,933,262,617,886.20 : x
  2. Step 2: Convert to fraction form
    901,218,046,472.60/1,933,262,617,886.20 = 1,933,262,617,886.20/x
  3. Step 3: Cross multiply
    901,218,046,472.60x = 1,933,262,617,886.20 × 1,933,262,617,886.20
  4. Step 4: Simplify right side
    901,218,046,472.60x = 3,737,504,349,716,203,024,941,056
  5. Step 5: Solve for x
    x = 3,737,504,349,716,203,024,941,056/901,218,046,472.60
  6. Step 6: Final answer
    x = 4,147,169,893,395.87

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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.