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Finding the Third Proportional to 4,524,484 and 9,861,830

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Solution

The third proportional to 4,524,484 and 9,861,830 is: 21,495,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,524,484 : 9,861,830 = 9,861,830 : x
  2. Step 2: Convert to fraction form
    4,524,484/9,861,830 = 9,861,830/x
  3. Step 3: Cross multiply
    4,524,484x = 9,861,830 × 9,861,830
  4. Step 4: Simplify right side
    4,524,484x = 97,255,690,948,900
  5. Step 5: Solve for x
    x = 97,255,690,948,900/4,524,484
  6. Step 6: Final answer
    x = 21,495,421.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.