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Finding the Third Proportional to 4,998,435,386 and 10,410,588,314

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Solution

The third proportional to 4,998,435,386 and 10,410,588,314 is: 21,682,854,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998,435,386 : 10,410,588,314 = 10,410,588,314 : x
  2. Step 2: Convert to fraction form
    4,998,435,386/10,410,588,314 = 10,410,588,314/x
  3. Step 3: Cross multiply
    4,998,435,386x = 10,410,588,314 × 10,410,588,314
  4. Step 4: Simplify right side
    4,998,435,386x = 108,380,349,043,593,363,456
  5. Step 5: Solve for x
    x = 108,380,349,043,593,363,456/4,998,435,386
  6. Step 6: Final answer
    x = 21,682,854,868.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.