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Finding the Third Proportional to 4,200,331.50 and 6,338,902.50

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Solution

The third proportional to 4,200,331.50 and 6,338,902.50 is: 9,566,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,331.50 : 6,338,902.50 = 6,338,902.50 : x
  2. Step 2: Convert to fraction form
    4,200,331.50/6,338,902.50 = 6,338,902.50/x
  3. Step 3: Cross multiply
    4,200,331.50x = 6,338,902.50 × 6,338,902.50
  4. Step 4: Simplify right side
    4,200,331.50x = 40,181,684,904,506.25
  5. Step 5: Solve for x
    x = 40,181,684,904,506.25/4,200,331.50
  6. Step 6: Final answer
    x = 9,566,312.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.