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Finding the Third Proportional to 4,656,964.50 and 10,179,657

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Solution

The third proportional to 4,656,964.50 and 10,179,657 is: 22,251,708.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656,964.50 : 10,179,657 = 10,179,657 : x
  2. Step 2: Convert to fraction form
    4,656,964.50/10,179,657 = 10,179,657/x
  3. Step 3: Cross multiply
    4,656,964.50x = 10,179,657 × 10,179,657
  4. Step 4: Simplify right side
    4,656,964.50x = 103,625,416,637,649
  5. Step 5: Solve for x
    x = 103,625,416,637,649/4,656,964.50
  6. Step 6: Final answer
    x = 22,251,708.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.