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Finding the Third Proportional to 4,837,138 and 6,992,441

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Solution

The third proportional to 4,837,138 and 6,992,441 is: 10,108,091.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837,138 : 6,992,441 = 6,992,441 : x
  2. Step 2: Convert to fraction form
    4,837,138/6,992,441 = 6,992,441/x
  3. Step 3: Cross multiply
    4,837,138x = 6,992,441 × 6,992,441
  4. Step 4: Simplify right side
    4,837,138x = 48,894,231,138,481
  5. Step 5: Solve for x
    x = 48,894,231,138,481/4,837,138
  6. Step 6: Final answer
    x = 10,108,091.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.