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Finding the Third Proportional to 10,406,491 and 22,888,922

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Solution

The third proportional to 10,406,491 and 22,888,922 is: 50,343,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406,491 : 22,888,922 = 22,888,922 : x
  2. Step 2: Convert to fraction form
    10,406,491/22,888,922 = 22,888,922/x
  3. Step 3: Cross multiply
    10,406,491x = 22,888,922 × 22,888,922
  4. Step 4: Simplify right side
    10,406,491x = 523,902,750,322,084
  5. Step 5: Solve for x
    x = 523,902,750,322,084/10,406,491
  6. Step 6: Final answer
    x = 50,343,843.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.