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Finding the Third Proportional to 3,512,502,831 and 7,637,202,366

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Solution

The third proportional to 3,512,502,831 and 7,637,202,366 is: 16,605,498,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512,502,831 : 7,637,202,366 = 7,637,202,366 : x
  2. Step 2: Convert to fraction form
    3,512,502,831/7,637,202,366 = 7,637,202,366/x
  3. Step 3: Cross multiply
    3,512,502,831x = 7,637,202,366 × 7,637,202,366
  4. Step 4: Simplify right side
    3,512,502,831x = 58,326,859,979,235,999,744
  5. Step 5: Solve for x
    x = 58,326,859,979,235,999,744/3,512,502,831
  6. Step 6: Final answer
    x = 16,605,498,354.18

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