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Finding the Third Proportional to 6,148,616.50 and 9,189,037

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Solution

The third proportional to 6,148,616.50 and 9,189,037 is: 13,732,910.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148,616.50 : 9,189,037 = 9,189,037 : x
  2. Step 2: Convert to fraction form
    6,148,616.50/9,189,037 = 9,189,037/x
  3. Step 3: Cross multiply
    6,148,616.50x = 9,189,037 × 9,189,037
  4. Step 4: Simplify right side
    6,148,616.50x = 84,438,400,987,369
  5. Step 5: Solve for x
    x = 84,438,400,987,369/6,148,616.50
  6. Step 6: Final answer
    x = 13,732,910.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.