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Finding the Third Proportional to 5,463,548,376 and 11,755,744,464

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Solution

The third proportional to 5,463,548,376 and 11,755,744,464 is: 25,294,464,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,548,376 : 11,755,744,464 = 11,755,744,464 : x
  2. Step 2: Convert to fraction form
    5,463,548,376/11,755,744,464 = 11,755,744,464/x
  3. Step 3: Cross multiply
    5,463,548,376x = 11,755,744,464 × 11,755,744,464
  4. Step 4: Simplify right side
    5,463,548,376x = 138,197,527,902,866,653,184
  5. Step 5: Solve for x
    x = 138,197,527,902,866,653,184/5,463,548,376
  6. Step 6: Final answer
    x = 25,294,464,035.49

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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.