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Finding the Third Proportional to 6,842,514 and 9,566,252

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Solution

The third proportional to 6,842,514 and 9,566,252 is: 13,374,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842,514 : 9,566,252 = 9,566,252 : x
  2. Step 2: Convert to fraction form
    6,842,514/9,566,252 = 9,566,252/x
  3. Step 3: Cross multiply
    6,842,514x = 9,566,252 × 9,566,252
  4. Step 4: Simplify right side
    6,842,514x = 91,513,177,327,504
  5. Step 5: Solve for x
    x = 91,513,177,327,504/6,842,514
  6. Step 6: Final answer
    x = 13,374,203.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.