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Finding the Third Proportional to 10,844,897,976 and 16,758,132,768

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Solution

The third proportional to 10,844,897,976 and 16,758,132,768 is: 25,895,588,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844,897,976 : 16,758,132,768 = 16,758,132,768 : x
  2. Step 2: Convert to fraction form
    10,844,897,976/16,758,132,768 = 16,758,132,768/x
  3. Step 3: Cross multiply
    10,844,897,976x = 16,758,132,768 × 16,758,132,768
  4. Step 4: Simplify right side
    10,844,897,976x = 280,835,013,869,915,340,800
  5. Step 5: Solve for x
    x = 280,835,013,869,915,340,800/10,844,897,976
  6. Step 6: Final answer
    x = 25,895,588,367.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.