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Finding the Third Proportional to 10,367,862 and 22,622,376

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Solution

The third proportional to 10,367,862 and 22,622,376 is: 49,361,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367,862 : 22,622,376 = 22,622,376 : x
  2. Step 2: Convert to fraction form
    10,367,862/22,622,376 = 22,622,376/x
  3. Step 3: Cross multiply
    10,367,862x = 22,622,376 × 22,622,376
  4. Step 4: Simplify right side
    10,367,862x = 511,771,895,885,376
  5. Step 5: Solve for x
    x = 511,771,895,885,376/10,367,862
  6. Step 6: Final answer
    x = 49,361,372.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.