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Finding the Third Proportional to 29,789,874 and 64,282,441

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Solution

The third proportional to 29,789,874 and 64,282,441 is: 138,712,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,789,874 : 64,282,441 = 64,282,441 : x
  2. Step 2: Convert to fraction form
    29,789,874/64,282,441 = 64,282,441/x
  3. Step 3: Cross multiply
    29,789,874x = 64,282,441 × 64,282,441
  4. Step 4: Simplify right side
    29,789,874x = 4,132,232,220,918,481
  5. Step 5: Solve for x
    x = 4,132,232,220,918,481/29,789,874
  6. Step 6: Final answer
    x = 138,712,645.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.