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Finding the Third Proportional to 8,205,886 and 17,856,651

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Solution

The third proportional to 8,205,886 and 17,856,651 is: 38,857,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,886 : 17,856,651 = 17,856,651 : x
  2. Step 2: Convert to fraction form
    8,205,886/17,856,651 = 17,856,651/x
  3. Step 3: Cross multiply
    8,205,886x = 17,856,651 × 17,856,651
  4. Step 4: Simplify right side
    8,205,886x = 318,859,984,935,801
  5. Step 5: Solve for x
    x = 318,859,984,935,801/8,205,886
  6. Step 6: Final answer
    x = 38,857,471.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.