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Finding the Third Proportional to 2,948,652 and 6,307,168.50

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Solution

The third proportional to 2,948,652 and 6,307,168.50 is: 13,491,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,652 : 6,307,168.50 = 6,307,168.50 : x
  2. Step 2: Convert to fraction form
    2,948,652/6,307,168.50 = 6,307,168.50/x
  3. Step 3: Cross multiply
    2,948,652x = 6,307,168.50 × 6,307,168.50
  4. Step 4: Simplify right side
    2,948,652x = 39,780,374,487,392.25
  5. Step 5: Solve for x
    x = 39,780,374,487,392.25/2,948,652
  6. Step 6: Final answer
    x = 13,491,037.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.