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Finding the Third Proportional to 3,744,523.69 and 5,616,874.13

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Solution

The third proportional to 3,744,523.69 and 5,616,874.13 is: 8,425,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744,523.69 : 5,616,874.13 = 5,616,874.13 : x
  2. Step 2: Convert to fraction form
    3,744,523.69/5,616,874.13 = 5,616,874.13/x
  3. Step 3: Cross multiply
    3,744,523.69x = 5,616,874.13 × 5,616,874.13
  4. Step 4: Simplify right side
    3,744,523.69x = 31,549,274,936,094.52
  5. Step 5: Solve for x
    x = 31,549,274,936,094.52/3,744,523.69
  6. Step 6: Final answer
    x = 8,425,444.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.