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Finding the Third Proportional to 11,755,840 and 25,473,442

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Solution

The third proportional to 11,755,840 and 25,473,442 is: 55,197,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,840 : 25,473,442 = 25,473,442 : x
  2. Step 2: Convert to fraction form
    11,755,840/25,473,442 = 25,473,442/x
  3. Step 3: Cross multiply
    11,755,840x = 25,473,442 × 25,473,442
  4. Step 4: Simplify right side
    11,755,840x = 648,896,247,327,364
  5. Step 5: Solve for x
    x = 648,896,247,327,364/11,755,840
  6. Step 6: Final answer
    x = 55,197,778.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.