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Finding the Third Proportional to 11,817,511.50 and 25,705,566

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Solution

The third proportional to 11,817,511.50 and 25,705,566 is: 55,914,997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817,511.50 : 25,705,566 = 25,705,566 : x
  2. Step 2: Convert to fraction form
    11,817,511.50/25,705,566 = 25,705,566/x
  3. Step 3: Cross multiply
    11,817,511.50x = 25,705,566 × 25,705,566
  4. Step 4: Simplify right side
    11,817,511.50x = 660,776,123,380,356
  5. Step 5: Solve for x
    x = 660,776,123,380,356/11,817,511.50
  6. Step 6: Final answer
    x = 55,914,997.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.