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Finding the Third Proportional to 3,680,478 and 7,544,542.50

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Solution

The third proportional to 3,680,478 and 7,544,542.50 is: 15,465,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,478 : 7,544,542.50 = 7,544,542.50 : x
  2. Step 2: Convert to fraction form
    3,680,478/7,544,542.50 = 7,544,542.50/x
  3. Step 3: Cross multiply
    3,680,478x = 7,544,542.50 × 7,544,542.50
  4. Step 4: Simplify right side
    3,680,478x = 56,920,121,534,306.25
  5. Step 5: Solve for x
    x = 56,920,121,534,306.25/3,680,478
  6. Step 6: Final answer
    x = 15,465,415.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.