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Finding the Third Proportional to 10,292,400 and 22,001,256

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Solution

The third proportional to 10,292,400 and 22,001,256 is: 47,030,358.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,400 : 22,001,256 = 22,001,256 : x
  2. Step 2: Convert to fraction form
    10,292,400/22,001,256 = 22,001,256/x
  3. Step 3: Cross multiply
    10,292,400x = 22,001,256 × 22,001,256
  4. Step 4: Simplify right side
    10,292,400x = 484,055,265,577,536
  5. Step 5: Solve for x
    x = 484,055,265,577,536/10,292,400
  6. Step 6: Final answer
    x = 47,030,358.86

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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.