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Finding the Third Proportional to 7,748,116 and 18,005,170

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Solution

The third proportional to 7,748,116 and 18,005,170 is: 41,840,641.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748,116 : 18,005,170 = 18,005,170 : x
  2. Step 2: Convert to fraction form
    7,748,116/18,005,170 = 18,005,170/x
  3. Step 3: Cross multiply
    7,748,116x = 18,005,170 × 18,005,170
  4. Step 4: Simplify right side
    7,748,116x = 324,186,146,728,900
  5. Step 5: Solve for x
    x = 324,186,146,728,900/7,748,116
  6. Step 6: Final answer
    x = 41,840,641.87

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.