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Finding the Third Proportional to 3,407,122.50 and 7,412,125.50

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Solution

The third proportional to 3,407,122.50 and 7,412,125.50 is: 16,124,927.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,122.50 : 7,412,125.50 = 7,412,125.50 : x
  2. Step 2: Convert to fraction form
    3,407,122.50/7,412,125.50 = 7,412,125.50/x
  3. Step 3: Cross multiply
    3,407,122.50x = 7,412,125.50 × 7,412,125.50
  4. Step 4: Simplify right side
    3,407,122.50x = 54,939,604,427,750.25
  5. Step 5: Solve for x
    x = 54,939,604,427,750.25/3,407,122.50
  6. Step 6: Final answer
    x = 16,124,927.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.