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Finding the Third Proportional to 5,702,392 and 11,876,561

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Solution

The third proportional to 5,702,392 and 11,876,561 is: 24,735,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702,392 : 11,876,561 = 11,876,561 : x
  2. Step 2: Convert to fraction form
    5,702,392/11,876,561 = 11,876,561/x
  3. Step 3: Cross multiply
    5,702,392x = 11,876,561 × 11,876,561
  4. Step 4: Simplify right side
    5,702,392x = 141,052,701,186,721
  5. Step 5: Solve for x
    x = 141,052,701,186,721/5,702,392
  6. Step 6: Final answer
    x = 24,735,707.61

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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.