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Finding the Third Proportional to 21,493,199 and 45,412,348

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Solution

The third proportional to 21,493,199 and 45,412,348 is: 95,950,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493,199 : 45,412,348 = 45,412,348 : x
  2. Step 2: Convert to fraction form
    21,493,199/45,412,348 = 45,412,348/x
  3. Step 3: Cross multiply
    21,493,199x = 45,412,348 × 45,412,348
  4. Step 4: Simplify right side
    21,493,199x = 2,062,281,350,873,104
  5. Step 5: Solve for x
    x = 2,062,281,350,873,104/21,493,199
  6. Step 6: Final answer
    x = 95,950,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.