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Finding the Third Proportional to 12,586,986 and 17,766,442.13

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Solution

The third proportional to 12,586,986 and 17,766,442.13 is: 25,077,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586,986 : 17,766,442.13 = 17,766,442.13 : x
  2. Step 2: Convert to fraction form
    12,586,986/17,766,442.13 = 17,766,442.13/x
  3. Step 3: Cross multiply
    12,586,986x = 17,766,442.13 × 17,766,442.13
  4. Step 4: Simplify right side
    12,586,986x = 315,646,465,780,974.50
  5. Step 5: Solve for x
    x = 315,646,465,780,974.50/12,586,986
  6. Step 6: Final answer
    x = 25,077,207.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.