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Finding the Third Proportional to 287,855,011.13 and 420,986,791.13

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Solution

The third proportional to 287,855,011.13 and 420,986,791.13 is: 615,691,481.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,855,011.13 : 420,986,791.13 = 420,986,791.13 : x
  2. Step 2: Convert to fraction form
    287,855,011.13/420,986,791.13 = 420,986,791.13/x
  3. Step 3: Cross multiply
    287,855,011.13x = 420,986,791.13 × 420,986,791.13
  4. Step 4: Simplify right side
    287,855,011.13x = 177,229,878,301,724,384
  5. Step 5: Solve for x
    x = 177,229,878,301,724,384/287,855,011.13
  6. Step 6: Final answer
    x = 615,691,481.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.