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Finding the Third Proportional to 4,099,432 and 8,766,270

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Solution

The third proportional to 4,099,432 and 8,766,270 is: 18,745,887.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099,432 : 8,766,270 = 8,766,270 : x
  2. Step 2: Convert to fraction form
    4,099,432/8,766,270 = 8,766,270/x
  3. Step 3: Cross multiply
    4,099,432x = 8,766,270 × 8,766,270
  4. Step 4: Simplify right side
    4,099,432x = 76,847,489,712,900
  5. Step 5: Solve for x
    x = 76,847,489,712,900/4,099,432
  6. Step 6: Final answer
    x = 18,745,887.17

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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.