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Finding the Third Proportional to 8,561,581,497 and 13,098,261,087

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Solution

The third proportional to 8,561,581,497 and 13,098,261,087 is: 20,038,872,907.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,581,497 : 13,098,261,087 = 13,098,261,087 : x
  2. Step 2: Convert to fraction form
    8,561,581,497/13,098,261,087 = 13,098,261,087/x
  3. Step 3: Cross multiply
    8,561,581,497x = 13,098,261,087 × 13,098,261,087
  4. Step 4: Simplify right side
    8,561,581,497x = 171,564,443,503,218,425,856
  5. Step 5: Solve for x
    x = 171,564,443,503,218,425,856/8,561,581,497
  6. Step 6: Final answer
    x = 20,038,872,907.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.