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Finding the Third Proportional to 27,217,800,543 and 42,696,659,223

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Solution

The third proportional to 27,217,800,543 and 42,696,659,223 is: 66,978,399,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217,800,543 : 42,696,659,223 = 42,696,659,223 : x
  2. Step 2: Convert to fraction form
    27,217,800,543/42,696,659,223 = 42,696,659,223/x
  3. Step 3: Cross multiply
    27,217,800,543x = 42,696,659,223 × 42,696,659,223
  4. Step 4: Simplify right side
    27,217,800,543x = 1,823,004,708,804,990,861,312
  5. Step 5: Solve for x
    x = 1,823,004,708,804,990,861,312/27,217,800,543
  6. Step 6: Final answer
    x = 66,978,399,151.87

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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.