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Finding the Third Proportional to 274,040,648 and 646,686,890

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Solution

The third proportional to 274,040,648 and 646,686,890 is: 1,526,065,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,040,648 : 646,686,890 = 646,686,890 : x
  2. Step 2: Convert to fraction form
    274,040,648/646,686,890 = 646,686,890/x
  3. Step 3: Cross multiply
    274,040,648x = 646,686,890 × 646,686,890
  4. Step 4: Simplify right side
    274,040,648x = 418,203,933,697,872,128
  5. Step 5: Solve for x
    x = 418,203,933,697,872,128/274,040,648
  6. Step 6: Final answer
    x = 1,526,065,336.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.