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Finding the Third Proportional to 9,687,807.50 and 15,000,559.50

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Solution

The third proportional to 9,687,807.50 and 15,000,559.50 is: 23,226,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687,807.50 : 15,000,559.50 = 15,000,559.50 : x
  2. Step 2: Convert to fraction form
    9,687,807.50/15,000,559.50 = 15,000,559.50/x
  3. Step 3: Cross multiply
    9,687,807.50x = 15,000,559.50 × 15,000,559.50
  4. Step 4: Simplify right side
    9,687,807.50x = 225,016,785,313,040.25
  5. Step 5: Solve for x
    x = 225,016,785,313,040.25/9,687,807.50
  6. Step 6: Final answer
    x = 23,226,801.87

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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.