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Finding the Third Proportional to 6,225,138 and 9,337,707

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Solution

The third proportional to 6,225,138 and 9,337,707 is: 14,006,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225,138 : 9,337,707 = 9,337,707 : x
  2. Step 2: Convert to fraction form
    6,225,138/9,337,707 = 9,337,707/x
  3. Step 3: Cross multiply
    6,225,138x = 9,337,707 × 9,337,707
  4. Step 4: Simplify right side
    6,225,138x = 87,192,772,017,849
  5. Step 5: Solve for x
    x = 87,192,772,017,849/6,225,138
  6. Step 6: Final answer
    x = 14,006,560.50

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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.