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Finding the Third Proportional to 9,887,466 and 21,660,081

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Solution

The third proportional to 9,887,466 and 21,660,081 is: 47,449,883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887,466 : 21,660,081 = 21,660,081 : x
  2. Step 2: Convert to fraction form
    9,887,466/21,660,081 = 21,660,081/x
  3. Step 3: Cross multiply
    9,887,466x = 21,660,081 × 21,660,081
  4. Step 4: Simplify right side
    9,887,466x = 469,159,108,926,561
  5. Step 5: Solve for x
    x = 469,159,108,926,561/9,887,466
  6. Step 6: Final answer
    x = 47,449,883.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.