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Finding the Third Proportional to 6,225,141 and 9,337,711.50

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Solution

The third proportional to 6,225,141 and 9,337,711.50 is: 14,006,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225,141 : 9,337,711.50 = 9,337,711.50 : x
  2. Step 2: Convert to fraction form
    6,225,141/9,337,711.50 = 9,337,711.50/x
  3. Step 3: Cross multiply
    6,225,141x = 9,337,711.50 × 9,337,711.50
  4. Step 4: Simplify right side
    6,225,141x = 87,192,856,057,232.25
  5. Step 5: Solve for x
    x = 87,192,856,057,232.25/6,225,141
  6. Step 6: Final answer
    x = 14,006,567.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.