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Finding the Third Proportional to 3,074,572.69 and 6,574,729.50

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Solution

The third proportional to 3,074,572.69 and 6,574,729.50 is: 14,059,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074,572.69 : 6,574,729.50 = 6,574,729.50 : x
  2. Step 2: Convert to fraction form
    3,074,572.69/6,574,729.50 = 6,574,729.50/x
  3. Step 3: Cross multiply
    3,074,572.69x = 6,574,729.50 × 6,574,729.50
  4. Step 4: Simplify right side
    3,074,572.69x = 43,227,067,998,170.25
  5. Step 5: Solve for x
    x = 43,227,067,998,170.25/3,074,572.69
  6. Step 6: Final answer
    x = 14,059,536.85

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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.