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Finding the Third Proportional to 182,703,636 and 431,162,036

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Solution

The third proportional to 182,703,636 and 431,162,036 is: 1,017,498,640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,703,636 : 431,162,036 = 431,162,036 : x
  2. Step 2: Convert to fraction form
    182,703,636/431,162,036 = 431,162,036/x
  3. Step 3: Cross multiply
    182,703,636x = 431,162,036 × 431,162,036
  4. Step 4: Simplify right side
    182,703,636x = 185,900,701,287,665,280
  5. Step 5: Solve for x
    x = 185,900,701,287,665,280/182,703,636
  6. Step 6: Final answer
    x = 1,017,498,640.74

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.