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Finding the Third Proportional to 3,991,014 and 6,166,046.25

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Solution

The third proportional to 3,991,014 and 6,166,046.25 is: 9,526,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991,014 : 6,166,046.25 = 6,166,046.25 : x
  2. Step 2: Convert to fraction form
    3,991,014/6,166,046.25 = 6,166,046.25/x
  3. Step 3: Cross multiply
    3,991,014x = 6,166,046.25 × 6,166,046.25
  4. Step 4: Simplify right side
    3,991,014x = 38,020,126,357,139.06
  5. Step 5: Solve for x
    x = 38,020,126,357,139.06/3,991,014
  6. Step 6: Final answer
    x = 9,526,432.72

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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.