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Finding the Third Proportional to 7,829,774 and 16,599,574

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Solution

The third proportional to 7,829,774 and 16,599,574 is: 35,192,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,774 : 16,599,574 = 16,599,574 : x
  2. Step 2: Convert to fraction form
    7,829,774/16,599,574 = 16,599,574/x
  3. Step 3: Cross multiply
    7,829,774x = 16,599,574 × 16,599,574
  4. Step 4: Simplify right side
    7,829,774x = 275,545,856,981,476
  5. Step 5: Solve for x
    x = 275,545,856,981,476/7,829,774
  6. Step 6: Final answer
    x = 35,192,057.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.