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Finding the Third Proportional to 5,978,265.75 and 9,282,346.88

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Solution

The third proportional to 5,978,265.75 and 9,282,346.88 is: 14,412,534.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,265.75 : 9,282,346.88 = 9,282,346.88 : x
  2. Step 2: Convert to fraction form
    5,978,265.75/9,282,346.88 = 9,282,346.88/x
  3. Step 3: Cross multiply
    5,978,265.75x = 9,282,346.88 × 9,282,346.88
  4. Step 4: Simplify right side
    5,978,265.75x = 86,161,963,507,822.27
  5. Step 5: Solve for x
    x = 86,161,963,507,822.27/5,978,265.75
  6. Step 6: Final answer
    x = 14,412,534.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.