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Finding the Third Proportional to 9,662,499 and 21,061,125

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Solution

The third proportional to 9,662,499 and 21,061,125 is: 45,906,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662,499 : 21,061,125 = 21,061,125 : x
  2. Step 2: Convert to fraction form
    9,662,499/21,061,125 = 21,061,125/x
  3. Step 3: Cross multiply
    9,662,499x = 21,061,125 × 21,061,125
  4. Step 4: Simplify right side
    9,662,499x = 443,570,986,265,625
  5. Step 5: Solve for x
    x = 443,570,986,265,625/9,662,499
  6. Step 6: Final answer
    x = 45,906,445.76

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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.