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Finding the Third Proportional to 759,734,241 and 1,646,270,814

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Solution

The third proportional to 759,734,241 and 1,646,270,814 is: 3,567,310,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,734,241 : 1,646,270,814 = 1,646,270,814 : x
  2. Step 2: Convert to fraction form
    759,734,241/1,646,270,814 = 1,646,270,814/x
  3. Step 3: Cross multiply
    759,734,241x = 1,646,270,814 × 1,646,270,814
  4. Step 4: Simplify right side
    759,734,241x = 2,710,207,593,028,222,464
  5. Step 5: Solve for x
    x = 2,710,207,593,028,222,464/759,734,241
  6. Step 6: Final answer
    x = 3,567,310,049.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.