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Finding the Third Proportional to 4,651,984 and 9,856,432

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Solution

The third proportional to 4,651,984 and 9,856,432 is: 20,883,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651,984 : 9,856,432 = 9,856,432 : x
  2. Step 2: Convert to fraction form
    4,651,984/9,856,432 = 9,856,432/x
  3. Step 3: Cross multiply
    4,651,984x = 9,856,432 × 9,856,432
  4. Step 4: Simplify right side
    4,651,984x = 97,149,251,770,624
  5. Step 5: Solve for x
    x = 97,149,251,770,624/4,651,984
  6. Step 6: Final answer
    x = 20,883,401.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.