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Finding the Third Proportional to 7,937,540 and 16,828,856

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Solution

The third proportional to 7,937,540 and 16,828,856 is: 35,679,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937,540 : 16,828,856 = 16,828,856 : x
  2. Step 2: Convert to fraction form
    7,937,540/16,828,856 = 16,828,856/x
  3. Step 3: Cross multiply
    7,937,540x = 16,828,856 × 16,828,856
  4. Step 4: Simplify right side
    7,937,540x = 283,210,394,268,736
  5. Step 5: Solve for x
    x = 283,210,394,268,736/7,937,540
  6. Step 6: Final answer
    x = 35,679,869.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.