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Finding the Third Proportional to 5,814,607.50 and 8,665,188.75

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Solution

The third proportional to 5,814,607.50 and 8,665,188.75 is: 12,913,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814,607.50 : 8,665,188.75 = 8,665,188.75 : x
  2. Step 2: Convert to fraction form
    5,814,607.50/8,665,188.75 = 8,665,188.75/x
  3. Step 3: Cross multiply
    5,814,607.50x = 8,665,188.75 × 8,665,188.75
  4. Step 4: Simplify right side
    5,814,607.50x = 75,085,496,073,126.56
  5. Step 5: Solve for x
    x = 75,085,496,073,126.56/5,814,607.50
  6. Step 6: Final answer
    x = 12,913,252.71

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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.