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Finding the Third Proportional to 54,565,015 and 82,414,025

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Solution

The third proportional to 54,565,015 and 82,414,025 is: 124,476,672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,565,015 : 82,414,025 = 82,414,025 : x
  2. Step 2: Convert to fraction form
    54,565,015/82,414,025 = 82,414,025/x
  3. Step 3: Cross multiply
    54,565,015x = 82,414,025 × 82,414,025
  4. Step 4: Simplify right side
    54,565,015x = 6,792,071,516,700,625
  5. Step 5: Solve for x
    x = 6,792,071,516,700,625/54,565,015
  6. Step 6: Final answer
    x = 124,476,672.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.