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Finding the Third Proportional to 6,766,514 and 15,789,074

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Solution

The third proportional to 6,766,514 and 15,789,074 is: 36,842,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,514 : 15,789,074 = 15,789,074 : x
  2. Step 2: Convert to fraction form
    6,766,514/15,789,074 = 15,789,074/x
  3. Step 3: Cross multiply
    6,766,514x = 15,789,074 × 15,789,074
  4. Step 4: Simplify right side
    6,766,514x = 249,294,857,777,476
  5. Step 5: Solve for x
    x = 249,294,857,777,476/6,766,514
  6. Step 6: Final answer
    x = 36,842,435.82

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.