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Finding the Third Proportional to 6,424,920 and 9,948,420

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Solution

The third proportional to 6,424,920 and 9,948,420 is: 15,404,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,920 : 9,948,420 = 9,948,420 : x
  2. Step 2: Convert to fraction form
    6,424,920/9,948,420 = 9,948,420/x
  3. Step 3: Cross multiply
    6,424,920x = 9,948,420 × 9,948,420
  4. Step 4: Simplify right side
    6,424,920x = 98,971,060,496,400
  5. Step 5: Solve for x
    x = 98,971,060,496,400/6,424,920
  6. Step 6: Final answer
    x = 15,404,247.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.