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Finding the Third Proportional to 5,347,068 and 11,546,424

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Solution

The third proportional to 5,347,068 and 11,546,424 is: 24,933,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347,068 : 11,546,424 = 11,546,424 : x
  2. Step 2: Convert to fraction form
    5,347,068/11,546,424 = 11,546,424/x
  3. Step 3: Cross multiply
    5,347,068x = 11,546,424 × 11,546,424
  4. Step 4: Simplify right side
    5,347,068x = 133,319,907,187,776
  5. Step 5: Solve for x
    x = 133,319,907,187,776/5,347,068
  6. Step 6: Final answer
    x = 24,933,273.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.