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Finding the Third Proportional to 57,963,633.75 and 125,007,175.13

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Solution

The third proportional to 57,963,633.75 and 125,007,175.13 is: 269,596,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963,633.75 : 125,007,175.13 = 125,007,175.13 : x
  2. Step 2: Convert to fraction form
    57,963,633.75/125,007,175.13 = 125,007,175.13/x
  3. Step 3: Cross multiply
    57,963,633.75x = 125,007,175.13 × 125,007,175.13
  4. Step 4: Simplify right side
    57,963,633.75x = 15,626,793,832,732,418
  5. Step 5: Solve for x
    x = 15,626,793,832,732,418/57,963,633.75
  6. Step 6: Final answer
    x = 269,596,518.05

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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.