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Finding the Third Proportional to 7,654,692 and 16,408,380

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Solution

The third proportional to 7,654,692 and 16,408,380 is: 35,172,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654,692 : 16,408,380 = 16,408,380 : x
  2. Step 2: Convert to fraction form
    7,654,692/16,408,380 = 16,408,380/x
  3. Step 3: Cross multiply
    7,654,692x = 16,408,380 × 16,408,380
  4. Step 4: Simplify right side
    7,654,692x = 269,234,934,224,400
  5. Step 5: Solve for x
    x = 269,234,934,224,400/7,654,692
  6. Step 6: Final answer
    x = 35,172,536.56

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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.