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Finding the Third Proportional to 5,221,681.25 and 7,982,604.75

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Solution

The third proportional to 5,221,681.25 and 7,982,604.75 is: 12,203,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221,681.25 : 7,982,604.75 = 7,982,604.75 : x
  2. Step 2: Convert to fraction form
    5,221,681.25/7,982,604.75 = 7,982,604.75/x
  3. Step 3: Cross multiply
    5,221,681.25x = 7,982,604.75 × 7,982,604.75
  4. Step 4: Simplify right side
    5,221,681.25x = 63,721,978,594,722.56
  5. Step 5: Solve for x
    x = 63,721,978,594,722.56/5,221,681.25
  6. Step 6: Final answer
    x = 12,203,345.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.