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Finding the Third Proportional to 54,371,819 and 82,347,426

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Solution

The third proportional to 54,371,819 and 82,347,426 is: 124,717,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,371,819 : 82,347,426 = 82,347,426 : x
  2. Step 2: Convert to fraction form
    54,371,819/82,347,426 = 82,347,426/x
  3. Step 3: Cross multiply
    54,371,819x = 82,347,426 × 82,347,426
  4. Step 4: Simplify right side
    54,371,819x = 6,781,098,568,825,476
  5. Step 5: Solve for x
    x = 6,781,098,568,825,476/54,371,819
  6. Step 6: Final answer
    x = 124,717,154.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.