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Finding the Third Proportional to 5,110,228.69 and 7,854,769.13

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Solution

The third proportional to 5,110,228.69 and 7,854,769.13 is: 12,073,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110,228.69 : 7,854,769.13 = 7,854,769.13 : x
  2. Step 2: Convert to fraction form
    5,110,228.69/7,854,769.13 = 7,854,769.13/x
  3. Step 3: Cross multiply
    5,110,228.69x = 7,854,769.13 × 7,854,769.13
  4. Step 4: Simplify right side
    5,110,228.69x = 61,697,398,007,053.27
  5. Step 5: Solve for x
    x = 61,697,398,007,053.27/5,110,228.69
  6. Step 6: Final answer
    x = 12,073,314.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.