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Finding the Third Proportional to 14,135,339 and 31,047,601

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Solution

The third proportional to 14,135,339 and 31,047,601 is: 68,194,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135,339 : 31,047,601 = 31,047,601 : x
  2. Step 2: Convert to fraction form
    14,135,339/31,047,601 = 31,047,601/x
  3. Step 3: Cross multiply
    14,135,339x = 31,047,601 × 31,047,601
  4. Step 4: Simplify right side
    14,135,339x = 963,953,527,855,201
  5. Step 5: Solve for x
    x = 963,953,527,855,201/14,135,339
  6. Step 6: Final answer
    x = 68,194,581.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.