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Finding the Third Proportional to 5,441,767.88 and 7,866,480.38

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Solution

The third proportional to 5,441,767.88 and 7,866,480.38 is: 11,371,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,767.88 : 7,866,480.38 = 7,866,480.38 : x
  2. Step 2: Convert to fraction form
    5,441,767.88/7,866,480.38 = 7,866,480.38/x
  3. Step 3: Cross multiply
    5,441,767.88x = 7,866,480.38 × 7,866,480.38
  4. Step 4: Simplify right side
    5,441,767.88x = 61,881,513,490,260.14
  5. Step 5: Solve for x
    x = 61,881,513,490,260.14/5,441,767.88
  6. Step 6: Final answer
    x = 11,371,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.