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Finding the Third Proportional to 3,253,767,857 and 4,582,022,133

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Solution

The third proportional to 3,253,767,857 and 4,582,022,133 is: 6,452,496,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253,767,857 : 4,582,022,133 = 4,582,022,133 : x
  2. Step 2: Convert to fraction form
    3,253,767,857/4,582,022,133 = 4,582,022,133/x
  3. Step 3: Cross multiply
    3,253,767,857x = 4,582,022,133 × 4,582,022,133
  4. Step 4: Simplify right side
    3,253,767,857x = 20,994,926,827,301,871,616
  5. Step 5: Solve for x
    x = 20,994,926,827,301,871,616/3,253,767,857
  6. Step 6: Final answer
    x = 6,452,496,843.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.