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Finding the Third Proportional to 11,724,393,894 and 25,285,396,044

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Solution

The third proportional to 11,724,393,894 and 25,285,396,044 is: 54,531,710,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724,393,894 : 25,285,396,044 = 25,285,396,044 : x
  2. Step 2: Convert to fraction form
    11,724,393,894/25,285,396,044 = 25,285,396,044/x
  3. Step 3: Cross multiply
    11,724,393,894x = 25,285,396,044 × 25,285,396,044
  4. Step 4: Simplify right side
    11,724,393,894x = 639,351,253,101,930,872,832
  5. Step 5: Solve for x
    x = 639,351,253,101,930,872,832/11,724,393,894
  6. Step 6: Final answer
    x = 54,531,710,456.19

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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.