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Finding the Third Proportional to 3,863,122,176 and 8,368,022,526

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Solution

The third proportional to 3,863,122,176 and 8,368,022,526 is: 18,126,219,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863,122,176 : 8,368,022,526 = 8,368,022,526 : x
  2. Step 2: Convert to fraction form
    3,863,122,176/8,368,022,526 = 8,368,022,526/x
  3. Step 3: Cross multiply
    3,863,122,176x = 8,368,022,526 × 8,368,022,526
  4. Step 4: Simplify right side
    3,863,122,176x = 70,023,800,995,643,424,768
  5. Step 5: Solve for x
    x = 70,023,800,995,643,424,768/3,863,122,176
  6. Step 6: Final answer
    x = 18,126,219,623.77

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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.