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Finding the Third Proportional to 7,189,848 and 15,649,344

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Solution

The third proportional to 7,189,848 and 15,649,344 is: 34,062,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189,848 : 15,649,344 = 15,649,344 : x
  2. Step 2: Convert to fraction form
    7,189,848/15,649,344 = 15,649,344/x
  3. Step 3: Cross multiply
    7,189,848x = 15,649,344 × 15,649,344
  4. Step 4: Simplify right side
    7,189,848x = 244,901,967,630,336
  5. Step 5: Solve for x
    x = 244,901,967,630,336/7,189,848
  6. Step 6: Final answer
    x = 34,062,189.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.