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Finding the Third Proportional to 4,665,002.50 and 6,961,524

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Solution

The third proportional to 4,665,002.50 and 6,961,524 is: 10,388,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,002.50 : 6,961,524 = 6,961,524 : x
  2. Step 2: Convert to fraction form
    4,665,002.50/6,961,524 = 6,961,524/x
  3. Step 3: Cross multiply
    4,665,002.50x = 6,961,524 × 6,961,524
  4. Step 4: Simplify right side
    4,665,002.50x = 48,462,816,402,576
  5. Step 5: Solve for x
    x = 48,462,816,402,576/4,665,002.50
  6. Step 6: Final answer
    x = 10,388,593.88

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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.