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Finding the Third Proportional to 612,969,561 and 1,361,988,018

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Solution

The third proportional to 612,969,561 and 1,361,988,018 is: 3,026,269,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,969,561 : 1,361,988,018 = 1,361,988,018 : x
  2. Step 2: Convert to fraction form
    612,969,561/1,361,988,018 = 1,361,988,018/x
  3. Step 3: Cross multiply
    612,969,561x = 1,361,988,018 × 1,361,988,018
  4. Step 4: Simplify right side
    612,969,561x = 1,855,011,361,175,568,384
  5. Step 5: Solve for x
    x = 1,855,011,361,175,568,384/612,969,561
  6. Step 6: Final answer
    x = 3,026,269,947.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.