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Finding the Third Proportional to 4,488,942.38 and 6,964,987.50

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Solution

The third proportional to 4,488,942.38 and 6,964,987.50 is: 10,806,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488,942.38 : 6,964,987.50 = 6,964,987.50 : x
  2. Step 2: Convert to fraction form
    4,488,942.38/6,964,987.50 = 6,964,987.50/x
  3. Step 3: Cross multiply
    4,488,942.38x = 6,964,987.50 × 6,964,987.50
  4. Step 4: Simplify right side
    4,488,942.38x = 48,511,050,875,156.25
  5. Step 5: Solve for x
    x = 48,511,050,875,156.25/4,488,942.38
  6. Step 6: Final answer
    x = 10,806,788.51

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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.