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Finding the Third Proportional to 5,129,307 and 11,147,580

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Solution

The third proportional to 5,129,307 and 11,147,580 is: 24,227,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129,307 : 11,147,580 = 11,147,580 : x
  2. Step 2: Convert to fraction form
    5,129,307/11,147,580 = 11,147,580/x
  3. Step 3: Cross multiply
    5,129,307x = 11,147,580 × 11,147,580
  4. Step 4: Simplify right side
    5,129,307x = 124,268,539,856,400
  5. Step 5: Solve for x
    x = 124,268,539,856,400/5,129,307
  6. Step 6: Final answer
    x = 24,227,159.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.