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Finding the Third Proportional to 3,182,883.05 and 5,048,250.12

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Solution

The third proportional to 3,182,883.05 and 5,048,250.12 is: 8,006,838.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182,883.05 : 5,048,250.12 = 5,048,250.12 : x
  2. Step 2: Convert to fraction form
    3,182,883.05/5,048,250.12 = 5,048,250.12/x
  3. Step 3: Cross multiply
    3,182,883.05x = 5,048,250.12 × 5,048,250.12
  4. Step 4: Simplify right side
    3,182,883.05x = 25,484,829,245,683.61
  5. Step 5: Solve for x
    x = 25,484,829,245,683.61/3,182,883.05
  6. Step 6: Final answer
    x = 8,006,838.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.