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Finding the Third Proportional to 10,067,350 and 21,814,315

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Solution

The third proportional to 10,067,350 and 21,814,315 is: 47,268,083.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,350 : 21,814,315 = 21,814,315 : x
  2. Step 2: Convert to fraction form
    10,067,350/21,814,315 = 21,814,315/x
  3. Step 3: Cross multiply
    10,067,350x = 21,814,315 × 21,814,315
  4. Step 4: Simplify right side
    10,067,350x = 475,864,338,919,225
  5. Step 5: Solve for x
    x = 475,864,338,919,225/10,067,350
  6. Step 6: Final answer
    x = 47,268,083.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.