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Finding the Third Proportional to 10,461,951 and 22,168,422

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Solution

The third proportional to 10,461,951 and 22,168,422 is: 46,973,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461,951 : 22,168,422 = 22,168,422 : x
  2. Step 2: Convert to fraction form
    10,461,951/22,168,422 = 22,168,422/x
  3. Step 3: Cross multiply
    10,461,951x = 22,168,422 × 22,168,422
  4. Step 4: Simplify right side
    10,461,951x = 491,438,933,970,084
  5. Step 5: Solve for x
    x = 491,438,933,970,084/10,461,951
  6. Step 6: Final answer
    x = 46,973,928.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.