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Finding the Third Proportional to 273,809,167.13 and 645,712,324.69

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Solution

The third proportional to 273,809,167.13 and 645,712,324.69 is: 1,522,755,467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,809,167.13 : 645,712,324.69 = 645,712,324.69 : x
  2. Step 2: Convert to fraction form
    273,809,167.13/645,712,324.69 = 645,712,324.69/x
  3. Step 3: Cross multiply
    273,809,167.13x = 645,712,324.69 × 645,712,324.69
  4. Step 4: Simplify right side
    273,809,167.13x = 416,944,406,253,335,424
  5. Step 5: Solve for x
    x = 416,944,406,253,335,424/273,809,167.13
  6. Step 6: Final answer
    x = 1,522,755,467.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.