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Finding the Third Proportional to 16,869,716,315 and 35,135,729,126

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Solution

The third proportional to 16,869,716,315 and 35,135,729,126 is: 73,179,621,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869,716,315 : 35,135,729,126 = 35,135,729,126 : x
  2. Step 2: Convert to fraction form
    16,869,716,315/35,135,729,126 = 35,135,729,126/x
  3. Step 3: Cross multiply
    16,869,716,315x = 35,135,729,126 × 35,135,729,126
  4. Step 4: Simplify right side
    16,869,716,315x = 1,234,519,461,215,644,680,192
  5. Step 5: Solve for x
    x = 1,234,519,461,215,644,680,192/16,869,716,315
  6. Step 6: Final answer
    x = 73,179,621,883.62

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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.