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Finding the Third Proportional to 3,253,767,864 and 4,582,022,142

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Solution

The third proportional to 3,253,767,864 and 4,582,022,142 is: 6,452,496,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253,767,864 : 4,582,022,142 = 4,582,022,142 : x
  2. Step 2: Convert to fraction form
    3,253,767,864/4,582,022,142 = 4,582,022,142/x
  3. Step 3: Cross multiply
    3,253,767,864x = 4,582,022,142 × 4,582,022,142
  4. Step 4: Simplify right side
    3,253,767,864x = 20,994,926,909,778,268,160
  5. Step 5: Solve for x
    x = 20,994,926,909,778,268,160/3,253,767,864
  6. Step 6: Final answer
    x = 6,452,496,855.13

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