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Finding the Third Proportional to 6,424,941 and 9,948,450

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Solution

The third proportional to 6,424,941 and 9,948,450 is: 15,404,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424,941 : 9,948,450 = 9,948,450 : x
  2. Step 2: Convert to fraction form
    6,424,941/9,948,450 = 9,948,450/x
  3. Step 3: Cross multiply
    6,424,941x = 9,948,450 × 9,948,450
  4. Step 4: Simplify right side
    6,424,941x = 98,971,657,402,500
  5. Step 5: Solve for x
    x = 98,971,657,402,500/6,424,941
  6. Step 6: Final answer
    x = 15,404,290.47

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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.