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Finding the Third Proportional to 57,506,547.75 and 123,781,872.75

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Solution

The third proportional to 57,506,547.75 and 123,781,872.75 is: 266,438,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,506,547.75 : 123,781,872.75 = 123,781,872.75 : x
  2. Step 2: Convert to fraction form
    57,506,547.75/123,781,872.75 = 123,781,872.75/x
  3. Step 3: Cross multiply
    57,506,547.75x = 123,781,872.75 × 123,781,872.75
  4. Step 4: Simplify right side
    57,506,547.75x = 15,321,952,021,497,192
  5. Step 5: Solve for x
    x = 15,321,952,021,497,192/57,506,547.75
  6. Step 6: Final answer
    x = 266,438,390.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.