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Finding the Third Proportional to 54,845,402,355 and 77,234,412,231

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Solution

The third proportional to 54,845,402,355 and 77,234,412,231 is: 108,763,071,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,845,402,355 : 77,234,412,231 = 77,234,412,231 : x
  2. Step 2: Convert to fraction form
    54,845,402,355/77,234,412,231 = 77,234,412,231/x
  3. Step 3: Cross multiply
    54,845,402,355x = 77,234,412,231 × 77,234,412,231
  4. Step 4: Simplify right side
    54,845,402,355x = 5,965,154,432,668,042,002,432
  5. Step 5: Solve for x
    x = 5,965,154,432,668,042,002,432/54,845,402,355
  6. Step 6: Final answer
    x = 108,763,071,771.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.