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Finding the Third Proportional to 702,395,742 and 1,512,673,980

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Solution

The third proportional to 702,395,742 and 1,512,673,980 is: 3,257,682,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,395,742 : 1,512,673,980 = 1,512,673,980 : x
  2. Step 2: Convert to fraction form
    702,395,742/1,512,673,980 = 1,512,673,980/x
  3. Step 3: Cross multiply
    702,395,742x = 1,512,673,980 × 1,512,673,980
  4. Step 4: Simplify right side
    702,395,742x = 2,288,182,569,769,040,384
  5. Step 5: Solve for x
    x = 2,288,182,569,769,040,384/702,395,742
  6. Step 6: Final answer
    x = 3,257,682,860.17

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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.