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Finding the Third Proportional to 10,289,672 and 22,350,736

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Solution

The third proportional to 10,289,672 and 22,350,736 is: 48,549,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289,672 : 22,350,736 = 22,350,736 : x
  2. Step 2: Convert to fraction form
    10,289,672/22,350,736 = 22,350,736/x
  3. Step 3: Cross multiply
    10,289,672x = 22,350,736 × 22,350,736
  4. Step 4: Simplify right side
    10,289,672x = 499,555,399,741,696
  5. Step 5: Solve for x
    x = 499,555,399,741,696/10,289,672
  6. Step 6: Final answer
    x = 48,549,205.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.