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Finding the Third Proportional to 4,703,105 and 6,873,172

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Solution

The third proportional to 4,703,105 and 6,873,172 is: 10,044,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703,105 : 6,873,172 = 6,873,172 : x
  2. Step 2: Convert to fraction form
    4,703,105/6,873,172 = 6,873,172/x
  3. Step 3: Cross multiply
    4,703,105x = 6,873,172 × 6,873,172
  4. Step 4: Simplify right side
    4,703,105x = 47,240,493,341,584
  5. Step 5: Solve for x
    x = 47,240,493,341,584/4,703,105
  6. Step 6: Final answer
    x = 10,044,532.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.