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Finding the Third Proportional to 270,101,047.75 and 625,244,996

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Solution

The third proportional to 270,101,047.75 and 625,244,996 is: 1,447,352,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,101,047.75 : 625,244,996 = 625,244,996 : x
  2. Step 2: Convert to fraction form
    270,101,047.75/625,244,996 = 625,244,996/x
  3. Step 3: Cross multiply
    270,101,047.75x = 625,244,996 × 625,244,996
  4. Step 4: Simplify right side
    270,101,047.75x = 390,931,305,023,040,000
  5. Step 5: Solve for x
    x = 390,931,305,023,040,000/270,101,047.75
  6. Step 6: Final answer
    x = 1,447,352,049.46

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.