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Finding the Third Proportional to 8,948,360 and 13,423,512

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Solution

The third proportional to 8,948,360 and 13,423,512 is: 20,136,726.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948,360 : 13,423,512 = 13,423,512 : x
  2. Step 2: Convert to fraction form
    8,948,360/13,423,512 = 13,423,512/x
  3. Step 3: Cross multiply
    8,948,360x = 13,423,512 × 13,423,512
  4. Step 4: Simplify right side
    8,948,360x = 180,190,674,414,144
  5. Step 5: Solve for x
    x = 180,190,674,414,144/8,948,360
  6. Step 6: Final answer
    x = 20,136,726.11

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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.