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Finding the Third Proportional to 10,158,381 and 21,694,452

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Solution

The third proportional to 10,158,381 and 21,694,452 is: 46,331,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158,381 : 21,694,452 = 21,694,452 : x
  2. Step 2: Convert to fraction form
    10,158,381/21,694,452 = 21,694,452/x
  3. Step 3: Cross multiply
    10,158,381x = 21,694,452 × 21,694,452
  4. Step 4: Simplify right side
    10,158,381x = 470,649,247,580,304
  5. Step 5: Solve for x
    x = 470,649,247,580,304/10,158,381
  6. Step 6: Final answer
    x = 46,331,127.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.