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Finding the Third Proportional to 14,405,677.50 and 21,974,373

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Solution

The third proportional to 14,405,677.50 and 21,974,373 is: 33,519,636.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,677.50 : 21,974,373 = 21,974,373 : x
  2. Step 2: Convert to fraction form
    14,405,677.50/21,974,373 = 21,974,373/x
  3. Step 3: Cross multiply
    14,405,677.50x = 21,974,373 × 21,974,373
  4. Step 4: Simplify right side
    14,405,677.50x = 482,873,068,743,129
  5. Step 5: Solve for x
    x = 482,873,068,743,129/14,405,677.50
  6. Step 6: Final answer
    x = 33,519,636.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.