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Finding the Third Proportional to 532,085,825,876 and 1,101,887,756,706

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Solution

The third proportional to 532,085,825,876 and 1,101,887,756,706 is: 2,281,881,172,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,085,825,876 : 1,101,887,756,706 = 1,101,887,756,706 : x
  2. Step 2: Convert to fraction form
    532,085,825,876/1,101,887,756,706 = 1,101,887,756,706/x
  3. Step 3: Cross multiply
    532,085,825,876x = 1,101,887,756,706 × 1,101,887,756,706
  4. Step 4: Simplify right side
    532,085,825,876x = 1,214,156,628,378,580,921,876,480
  5. Step 5: Solve for x
    x = 1,214,156,628,378,580,921,876,480/532,085,825,876
  6. Step 6: Final answer
    x = 2,281,881,172,796.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.