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Finding the Third Proportional to 755,474,868 and 1,625,740,980

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Solution

The third proportional to 755,474,868 and 1,625,740,980 is: 3,498,506,497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,474,868 : 1,625,740,980 = 1,625,740,980 : x
  2. Step 2: Convert to fraction form
    755,474,868/1,625,740,980 = 1,625,740,980/x
  3. Step 3: Cross multiply
    755,474,868x = 1,625,740,980 × 1,625,740,980
  4. Step 4: Simplify right side
    755,474,868x = 2,643,033,734,051,360,256
  5. Step 5: Solve for x
    x = 2,643,033,734,051,360,256/755,474,868
  6. Step 6: Final answer
    x = 3,498,506,497.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.