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Finding the Third Proportional to 15,589,924,258.50 and 36,377,747,172

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Solution

The third proportional to 15,589,924,258.50 and 36,377,747,172 is: 84,884,343,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,589,924,258.50 : 36,377,747,172 = 36,377,747,172 : x
  2. Step 2: Convert to fraction form
    15,589,924,258.50/36,377,747,172 = 36,377,747,172/x
  3. Step 3: Cross multiply
    15,589,924,258.50x = 36,377,747,172 × 36,377,747,172
  4. Step 4: Simplify right side
    15,589,924,258.50x = 1,323,340,489,309,953,982,464
  5. Step 5: Solve for x
    x = 1,323,340,489,309,953,982,464/15,589,924,258.50
  6. Step 6: Final answer
    x = 84,884,343,718.89

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.