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Finding the Third Proportional to 4,469,509.13 and 6,919,273.13

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Solution

The third proportional to 4,469,509.13 and 6,919,273.13 is: 10,711,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469,509.13 : 6,919,273.13 = 6,919,273.13 : x
  2. Step 2: Convert to fraction form
    4,469,509.13/6,919,273.13 = 6,919,273.13/x
  3. Step 3: Cross multiply
    4,469,509.13x = 6,919,273.13 × 6,919,273.13
  4. Step 4: Simplify right side
    4,469,509.13x = 47,876,340,578,347.27
  5. Step 5: Solve for x
    x = 47,876,340,578,347.27/4,469,509.13
  6. Step 6: Final answer
    x = 10,711,767.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.