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Finding the Third Proportional to 83,672,631 and 180,789,966

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Solution

The third proportional to 83,672,631 and 180,789,966 is: 390,629,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,672,631 : 180,789,966 = 180,789,966 : x
  2. Step 2: Convert to fraction form
    83,672,631/180,789,966 = 180,789,966/x
  3. Step 3: Cross multiply
    83,672,631x = 180,789,966 × 180,789,966
  4. Step 4: Simplify right side
    83,672,631x = 32,685,011,806,281,156
  5. Step 5: Solve for x
    x = 32,685,011,806,281,156/83,672,631
  6. Step 6: Final answer
    x = 390,629,664.87

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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.