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Finding the Third Proportional to 5,010,471 and 10,978,530.75

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Solution

The third proportional to 5,010,471 and 10,978,530.75 is: 24,055,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010,471 : 10,978,530.75 = 10,978,530.75 : x
  2. Step 2: Convert to fraction form
    5,010,471/10,978,530.75 = 10,978,530.75/x
  3. Step 3: Cross multiply
    5,010,471x = 10,978,530.75 × 10,978,530.75
  4. Step 4: Simplify right side
    5,010,471x = 120,528,137,428,695.56
  5. Step 5: Solve for x
    x = 120,528,137,428,695.56/5,010,471
  6. Step 6: Final answer
    x = 24,055,250.98

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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.