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Finding the Third Proportional to 27,881,334 and 40,156,965

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Solution

The third proportional to 27,881,334 and 40,156,965 is: 57,837,327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881,334 : 40,156,965 = 40,156,965 : x
  2. Step 2: Convert to fraction form
    27,881,334/40,156,965 = 40,156,965/x
  3. Step 3: Cross multiply
    27,881,334x = 40,156,965 × 40,156,965
  4. Step 4: Simplify right side
    27,881,334x = 1,612,581,838,011,225
  5. Step 5: Solve for x
    x = 1,612,581,838,011,225/27,881,334
  6. Step 6: Final answer
    x = 57,837,327.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.