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Finding the Third Proportional to 4,915,963.69 and 7,442,254.13

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Solution

The third proportional to 4,915,963.69 and 7,442,254.13 is: 11,266,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,915,963.69 : 7,442,254.13 = 7,442,254.13 : x
  2. Step 2: Convert to fraction form
    4,915,963.69/7,442,254.13 = 7,442,254.13/x
  3. Step 3: Cross multiply
    4,915,963.69x = 7,442,254.13 × 7,442,254.13
  4. Step 4: Simplify right side
    4,915,963.69x = 55,387,146,461,079.52
  5. Step 5: Solve for x
    x = 55,387,146,461,079.52/4,915,963.69
  6. Step 6: Final answer
    x = 11,266,793.24

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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.