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Finding the Third Proportional to 55,536,656,780 and 84,604,358,496

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Solution

The third proportional to 55,536,656,780 and 84,604,358,496 is: 128,885,998,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,536,656,780 : 84,604,358,496 = 84,604,358,496 : x
  2. Step 2: Convert to fraction form
    55,536,656,780/84,604,358,496 = 84,604,358,496/x
  3. Step 3: Cross multiply
    55,536,656,780x = 84,604,358,496 × 84,604,358,496
  4. Step 4: Simplify right side
    55,536,656,780x = 7,157,897,476,519,687,618,560
  5. Step 5: Solve for x
    x = 7,157,897,476,519,687,618,560/55,536,656,780
  6. Step 6: Final answer
    x = 128,885,998,753.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.