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Finding the Third Proportional to 3,897,677,460 and 9,198,123,156

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Solution

The third proportional to 3,897,677,460 and 9,198,123,156 is: 21,706,636,955.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,677,460 : 9,198,123,156 = 9,198,123,156 : x
  2. Step 2: Convert to fraction form
    3,897,677,460/9,198,123,156 = 9,198,123,156/x
  3. Step 3: Cross multiply
    3,897,677,460x = 9,198,123,156 × 9,198,123,156
  4. Step 4: Simplify right side
    3,897,677,460x = 84,605,469,592,943,394,816
  5. Step 5: Solve for x
    x = 84,605,469,592,943,394,816/3,897,677,460
  6. Step 6: Final answer
    x = 21,706,636,955.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.