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Finding the Third Proportional to 57,963,655.69 and 125,007,217.10

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Solution

The third proportional to 57,963,655.69 and 125,007,217.10 is: 269,596,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963,655.69 : 125,007,217.10 = 125,007,217.10 : x
  2. Step 2: Convert to fraction form
    57,963,655.69/125,007,217.10 = 125,007,217.10/x
  3. Step 3: Cross multiply
    57,963,655.69x = 125,007,217.10 × 125,007,217.10
  4. Step 4: Simplify right side
    57,963,655.69x = 15,626,804,327,476,554
  5. Step 5: Solve for x
    x = 15,626,804,327,476,554/57,963,655.69
  6. Step 6: Final answer
    x = 269,596,597.08

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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.