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Finding the Third Proportional to 5,480,274.38 and 7,661,743.88

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Solution

The third proportional to 5,480,274.38 and 7,661,743.88 is: 10,711,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,480,274.38 : 7,661,743.88 = 7,661,743.88 : x
  2. Step 2: Convert to fraction form
    5,480,274.38/7,661,743.88 = 7,661,743.88/x
  3. Step 3: Cross multiply
    5,480,274.38x = 7,661,743.88 × 7,661,743.88
  4. Step 4: Simplify right side
    5,480,274.38x = 58,702,319,206,100.02
  5. Step 5: Solve for x
    x = 58,702,319,206,100.02/5,480,274.38
  6. Step 6: Final answer
    x = 10,711,565.73

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.