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Finding the Third Proportional to 7,612,269 and 16,486,711.50

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Solution

The third proportional to 7,612,269 and 16,486,711.50 is: 35,707,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,612,269 : 16,486,711.50 = 16,486,711.50 : x
  2. Step 2: Convert to fraction form
    7,612,269/16,486,711.50 = 16,486,711.50/x
  3. Step 3: Cross multiply
    7,612,269x = 16,486,711.50 × 16,486,711.50
  4. Step 4: Simplify right side
    7,612,269x = 271,811,656,084,232.25
  5. Step 5: Solve for x
    x = 271,811,656,084,232.25/7,612,269
  6. Step 6: Final answer
    x = 35,707,048.20

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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.