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Finding the Third Proportional to 5,215,470.19 and 10,578,331.69

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Solution

The third proportional to 5,215,470.19 and 10,578,331.69 is: 21,455,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,470.19 : 10,578,331.69 = 10,578,331.69 : x
  2. Step 2: Convert to fraction form
    5,215,470.19/10,578,331.69 = 10,578,331.69/x
  3. Step 3: Cross multiply
    5,215,470.19x = 10,578,331.69 × 10,578,331.69
  4. Step 4: Simplify right side
    5,215,470.19x = 111,901,101,290,766.59
  5. Step 5: Solve for x
    x = 111,901,101,290,766.59/5,215,470.19
  6. Step 6: Final answer
    x = 21,455,611.34

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.