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Finding the Third Proportional to 10,467,009 and 22,176,720

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Solution

The third proportional to 10,467,009 and 22,176,720 is: 46,986,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467,009 : 22,176,720 = 22,176,720 : x
  2. Step 2: Convert to fraction form
    10,467,009/22,176,720 = 22,176,720/x
  3. Step 3: Cross multiply
    10,467,009x = 22,176,720 × 22,176,720
  4. Step 4: Simplify right side
    10,467,009x = 491,806,909,958,400
  5. Step 5: Solve for x
    x = 491,806,909,958,400/10,467,009
  6. Step 6: Final answer
    x = 46,986,384.55

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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.