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Finding the Third Proportional to 4,849,538 and 8,082,237

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Solution

The third proportional to 4,849,538 and 8,082,237 is: 13,469,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849,538 : 8,082,237 = 8,082,237 : x
  2. Step 2: Convert to fraction form
    4,849,538/8,082,237 = 8,082,237/x
  3. Step 3: Cross multiply
    4,849,538x = 8,082,237 × 8,082,237
  4. Step 4: Simplify right side
    4,849,538x = 65,322,554,924,169
  5. Step 5: Solve for x
    x = 65,322,554,924,169/4,849,538
  6. Step 6: Final answer
    x = 13,469,851.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.