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Finding the Third Proportional to 10,053,738 and 21,479,919

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Solution

The third proportional to 10,053,738 and 21,479,919 is: 45,892,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053,738 : 21,479,919 = 21,479,919 : x
  2. Step 2: Convert to fraction form
    10,053,738/21,479,919 = 21,479,919/x
  3. Step 3: Cross multiply
    10,053,738x = 21,479,919 × 21,479,919
  4. Step 4: Simplify right side
    10,053,738x = 461,386,920,246,561
  5. Step 5: Solve for x
    x = 461,386,920,246,561/10,053,738
  6. Step 6: Final answer
    x = 45,892,077.18

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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.