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Finding the Third Proportional to 61,471,569.09 and 100,366,913.53

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Solution

The third proportional to 61,471,569.09 and 100,366,913.53 is: 163,872,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,569.09 : 100,366,913.53 = 100,366,913.53 : x
  2. Step 2: Convert to fraction form
    61,471,569.09/100,366,913.53 = 100,366,913.53/x
  3. Step 3: Cross multiply
    61,471,569.09x = 100,366,913.53 × 100,366,913.53
  4. Step 4: Simplify right side
    61,471,569.09x = 10,073,517,331,789,414
  5. Step 5: Solve for x
    x = 10,073,517,331,789,414/61,471,569.09
  6. Step 6: Final answer
    x = 163,872,786.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.