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Finding the Third Proportional to 63,975,766 and 138,145,784

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Solution

The third proportional to 63,975,766 and 138,145,784 is: 298,304,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,975,766 : 138,145,784 = 138,145,784 : x
  2. Step 2: Convert to fraction form
    63,975,766/138,145,784 = 138,145,784/x
  3. Step 3: Cross multiply
    63,975,766x = 138,145,784 × 138,145,784
  4. Step 4: Simplify right side
    63,975,766x = 19,084,257,636,974,656
  5. Step 5: Solve for x
    x = 19,084,257,636,974,656/63,975,766
  6. Step 6: Final answer
    x = 298,304,480.43

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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.