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Finding the Third Proportional to 8,948,363 and 13,423,517

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Solution

The third proportional to 8,948,363 and 13,423,517 is: 20,136,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948,363 : 13,423,517 = 13,423,517 : x
  2. Step 2: Convert to fraction form
    8,948,363/13,423,517 = 13,423,517/x
  3. Step 3: Cross multiply
    8,948,363x = 13,423,517 × 13,423,517
  4. Step 4: Simplify right side
    8,948,363x = 180,190,808,649,289
  5. Step 5: Solve for x
    x = 180,190,808,649,289/8,948,363
  6. Step 6: Final answer
    x = 20,136,734.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.