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Finding the Third Proportional to 20,433,144 and 43,642,320

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Solution

The third proportional to 20,433,144 and 43,642,320 is: 93,213,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433,144 : 43,642,320 = 43,642,320 : x
  2. Step 2: Convert to fraction form
    20,433,144/43,642,320 = 43,642,320/x
  3. Step 3: Cross multiply
    20,433,144x = 43,642,320 × 43,642,320
  4. Step 4: Simplify right side
    20,433,144x = 1,904,652,094,982,400
  5. Step 5: Solve for x
    x = 1,904,652,094,982,400/20,433,144
  6. Step 6: Final answer
    x = 93,213,853.68

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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.