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Finding the Third Proportional to 1,144,628,743 and 2,479,413,991

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Solution

The third proportional to 1,144,628,743 and 2,479,413,991 is: 5,370,731,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144,628,743 : 2,479,413,991 = 2,479,413,991 : x
  2. Step 2: Convert to fraction form
    1,144,628,743/2,479,413,991 = 2,479,413,991/x
  3. Step 3: Cross multiply
    1,144,628,743x = 2,479,413,991 × 2,479,413,991
  4. Step 4: Simplify right side
    1,144,628,743x = 6,147,493,738,766,547,968
  5. Step 5: Solve for x
    x = 6,147,493,738,766,547,968/1,144,628,743
  6. Step 6: Final answer
    x = 5,370,731,581.19

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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.