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Finding the Third Proportional to 1,344,088,912 and 2,108,476,993

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Solution

The third proportional to 1,344,088,912 and 2,108,476,993 is: 3,307,575,258.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344,088,912 : 2,108,476,993 = 2,108,476,993 : x
  2. Step 2: Convert to fraction form
    1,344,088,912/2,108,476,993 = 2,108,476,993/x
  3. Step 3: Cross multiply
    1,344,088,912x = 2,108,476,993 × 2,108,476,993
  4. Step 4: Simplify right side
    1,344,088,912x = 4,445,675,230,010,321,920
  5. Step 5: Solve for x
    x = 4,445,675,230,010,321,920/1,344,088,912
  6. Step 6: Final answer
    x = 3,307,575,258.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.