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Finding the Third Proportional to 2,229,979.50 and 4,869,496.13

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Solution

The third proportional to 2,229,979.50 and 4,869,496.13 is: 10,633,278.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229,979.50 : 4,869,496.13 = 4,869,496.13 : x
  2. Step 2: Convert to fraction form
    2,229,979.50/4,869,496.13 = 4,869,496.13/x
  3. Step 3: Cross multiply
    2,229,979.50x = 4,869,496.13 × 4,869,496.13
  4. Step 4: Simplify right side
    2,229,979.50x = 23,711,992,511,390.02
  5. Step 5: Solve for x
    x = 23,711,992,511,390.02/2,229,979.50
  6. Step 6: Final answer
    x = 10,633,278.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.