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Finding the Third Proportional to 11,374,773,745 and 24,729,387,661

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Solution

The third proportional to 11,374,773,745 and 24,729,387,661 is: 53,763,057,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374,773,745 : 24,729,387,661 = 24,729,387,661 : x
  2. Step 2: Convert to fraction form
    11,374,773,745/24,729,387,661 = 24,729,387,661/x
  3. Step 3: Cross multiply
    11,374,773,745x = 24,729,387,661 × 24,729,387,661
  4. Step 4: Simplify right side
    11,374,773,745x = 611,542,614,088,019,083,264
  5. Step 5: Solve for x
    x = 611,542,614,088,019,083,264/11,374,773,745
  6. Step 6: Final answer
    x = 53,763,057,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.