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Finding the Third Proportional to 21,284,466 and 32,458,107

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Solution

The third proportional to 21,284,466 and 32,458,107 is: 49,497,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284,466 : 32,458,107 = 32,458,107 : x
  2. Step 2: Convert to fraction form
    21,284,466/32,458,107 = 32,458,107/x
  3. Step 3: Cross multiply
    21,284,466x = 32,458,107 × 32,458,107
  4. Step 4: Simplify right side
    21,284,466x = 1,053,528,710,023,449
  5. Step 5: Solve for x
    x = 1,053,528,710,023,449/21,284,466
  6. Step 6: Final answer
    x = 49,497,540.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.