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Finding the Third Proportional to 14,405,536 and 21,974,072

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Solution

The third proportional to 14,405,536 and 21,974,072 is: 33,519,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405,536 : 21,974,072 = 21,974,072 : x
  2. Step 2: Convert to fraction form
    14,405,536/21,974,072 = 21,974,072/x
  3. Step 3: Cross multiply
    14,405,536x = 21,974,072 × 21,974,072
  4. Step 4: Simplify right side
    14,405,536x = 482,859,840,261,184
  5. Step 5: Solve for x
    x = 482,859,840,261,184/14,405,536
  6. Step 6: Final answer
    x = 33,519,047.14

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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.