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Finding the Third Proportional to 57,832,954 and 77,102,005

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Solution

The third proportional to 57,832,954 and 77,102,005 is: 102,791,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832,954 : 77,102,005 = 77,102,005 : x
  2. Step 2: Convert to fraction form
    57,832,954/77,102,005 = 77,102,005/x
  3. Step 3: Cross multiply
    57,832,954x = 77,102,005 × 77,102,005
  4. Step 4: Simplify right side
    57,832,954x = 5,944,719,175,020,025
  5. Step 5: Solve for x
    x = 5,944,719,175,020,025/57,832,954
  6. Step 6: Final answer
    x = 102,791,207.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.