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Finding the Third Proportional to 132,522,741 and 284,718,645

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Solution

The third proportional to 132,522,741 and 284,718,645 is: 611,704,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,522,741 : 284,718,645 = 284,718,645 : x
  2. Step 2: Convert to fraction form
    132,522,741/284,718,645 = 284,718,645/x
  3. Step 3: Cross multiply
    132,522,741x = 284,718,645 × 284,718,645
  4. Step 4: Simplify right side
    132,522,741x = 81,064,706,810,636,032
  5. Step 5: Solve for x
    x = 81,064,706,810,636,032/132,522,741
  6. Step 6: Final answer
    x = 611,704,121.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.