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Finding the Third Proportional to 10,508,163,354 and 22,845,381,876

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Solution

The third proportional to 10,508,163,354 and 22,845,381,876 is: 49,667,240,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508,163,354 : 22,845,381,876 = 22,845,381,876 : x
  2. Step 2: Convert to fraction form
    10,508,163,354/22,845,381,876 = 22,845,381,876/x
  3. Step 3: Cross multiply
    10,508,163,354x = 22,845,381,876 × 22,845,381,876
  4. Step 4: Simplify right side
    10,508,163,354x = 521,911,473,060,269,260,800
  5. Step 5: Solve for x
    x = 521,911,473,060,269,260,800/10,508,163,354
  6. Step 6: Final answer
    x = 49,667,240,171.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.