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Finding the Third Proportional to 7,846,356 and 16,895,022

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Solution

The third proportional to 7,846,356 and 16,895,022 is: 36,378,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846,356 : 16,895,022 = 16,895,022 : x
  2. Step 2: Convert to fraction form
    7,846,356/16,895,022 = 16,895,022/x
  3. Step 3: Cross multiply
    7,846,356x = 16,895,022 × 16,895,022
  4. Step 4: Simplify right side
    7,846,356x = 285,441,768,380,484
  5. Step 5: Solve for x
    x = 285,441,768,380,484/7,846,356
  6. Step 6: Final answer
    x = 36,378,895.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.