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Finding the Third Proportional to 869,948,892 and 1,317,558,474

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Solution

The third proportional to 869,948,892 and 1,317,558,474 is: 1,995,473,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,948,892 : 1,317,558,474 = 1,317,558,474 : x
  2. Step 2: Convert to fraction form
    869,948,892/1,317,558,474 = 1,317,558,474/x
  3. Step 3: Cross multiply
    869,948,892x = 1,317,558,474 × 1,317,558,474
  4. Step 4: Simplify right side
    869,948,892x = 1,735,960,332,409,208,576
  5. Step 5: Solve for x
    x = 1,735,960,332,409,208,576/869,948,892
  6. Step 6: Final answer
    x = 1,995,473,927.69

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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.