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Finding the Third Proportional to 13,185,409 and 27,381,374

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Solution

The third proportional to 13,185,409 and 27,381,374 is: 56,861,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185,409 : 27,381,374 = 27,381,374 : x
  2. Step 2: Convert to fraction form
    13,185,409/27,381,374 = 27,381,374/x
  3. Step 3: Cross multiply
    13,185,409x = 27,381,374 × 27,381,374
  4. Step 4: Simplify right side
    13,185,409x = 749,739,642,127,876
  5. Step 5: Solve for x
    x = 749,739,642,127,876/13,185,409
  6. Step 6: Final answer
    x = 56,861,311.02

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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.