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Finding the Third Proportional to 8,031,471 and 12,235,410

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Solution

The third proportional to 8,031,471 and 12,235,410 is: 18,639,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031,471 : 12,235,410 = 12,235,410 : x
  2. Step 2: Convert to fraction form
    8,031,471/12,235,410 = 12,235,410/x
  3. Step 3: Cross multiply
    8,031,471x = 12,235,410 × 12,235,410
  4. Step 4: Simplify right side
    8,031,471x = 149,705,257,868,100
  5. Step 5: Solve for x
    x = 149,705,257,868,100/8,031,471
  6. Step 6: Final answer
    x = 18,639,830.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.