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Finding the Third Proportional to 8,020,842.75 and 16,702,641

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Solution

The third proportional to 8,020,842.75 and 16,702,641 is: 34,781,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020,842.75 : 16,702,641 = 16,702,641 : x
  2. Step 2: Convert to fraction form
    8,020,842.75/16,702,641 = 16,702,641/x
  3. Step 3: Cross multiply
    8,020,842.75x = 16,702,641 × 16,702,641
  4. Step 4: Simplify right side
    8,020,842.75x = 278,978,216,374,881
  5. Step 5: Solve for x
    x = 278,978,216,374,881/8,020,842.75
  6. Step 6: Final answer
    x = 34,781,658.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.