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Finding the Third Proportional to 4,665,037.50 and 6,961,563

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Solution

The third proportional to 4,665,037.50 and 6,961,563 is: 10,388,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,037.50 : 6,961,563 = 6,961,563 : x
  2. Step 2: Convert to fraction form
    4,665,037.50/6,961,563 = 6,961,563/x
  3. Step 3: Cross multiply
    4,665,037.50x = 6,961,563 × 6,961,563
  4. Step 4: Simplify right side
    4,665,037.50x = 48,463,359,402,969
  5. Step 5: Solve for x
    x = 48,463,359,402,969/4,665,037.50
  6. Step 6: Final answer
    x = 10,388,632.33

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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.