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Finding the Third Proportional to 4,129,971 and 8,857,797

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Solution

The third proportional to 4,129,971 and 8,857,797 is: 18,997,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,971 : 8,857,797 = 8,857,797 : x
  2. Step 2: Convert to fraction form
    4,129,971/8,857,797 = 8,857,797/x
  3. Step 3: Cross multiply
    4,129,971x = 8,857,797 × 8,857,797
  4. Step 4: Simplify right side
    4,129,971x = 78,460,567,693,209
  5. Step 5: Solve for x
    x = 78,460,567,693,209/4,129,971
  6. Step 6: Final answer
    x = 18,997,849.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.