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Finding the Third Proportional to 5,216,234.25 and 7,979,248.31

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Solution

The third proportional to 5,216,234.25 and 7,979,248.31 is: 12,205,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216,234.25 : 7,979,248.31 = 7,979,248.31 : x
  2. Step 2: Convert to fraction form
    5,216,234.25/7,979,248.31 = 7,979,248.31/x
  3. Step 3: Cross multiply
    5,216,234.25x = 7,979,248.31 × 7,979,248.31
  4. Step 4: Simplify right side
    5,216,234.25x = 63,668,403,632,534.09
  5. Step 5: Solve for x
    x = 63,668,403,632,534.09/5,216,234.25
  6. Step 6: Final answer
    x = 12,205,817.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.