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Finding the Third Proportional to 869,948,874 and 1,317,558,447

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Solution

The third proportional to 869,948,874 and 1,317,558,447 is: 1,995,473,887.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,948,874 : 1,317,558,447 = 1,317,558,447 : x
  2. Step 2: Convert to fraction form
    869,948,874/1,317,558,447 = 1,317,558,447/x
  3. Step 3: Cross multiply
    869,948,874x = 1,317,558,447 × 1,317,558,447
  4. Step 4: Simplify right side
    869,948,874x = 1,735,960,261,261,051,904
  5. Step 5: Solve for x
    x = 1,735,960,261,261,051,904/869,948,874
  6. Step 6: Final answer
    x = 1,995,473,887.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.