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Finding the Third Proportional to 7,662,822 and 11,157,273

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Solution

The third proportional to 7,662,822 and 11,157,273 is: 16,245,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662,822 : 11,157,273 = 11,157,273 : x
  2. Step 2: Convert to fraction form
    7,662,822/11,157,273 = 11,157,273/x
  3. Step 3: Cross multiply
    7,662,822x = 11,157,273 × 11,157,273
  4. Step 4: Simplify right side
    7,662,822x = 124,484,740,796,529
  5. Step 5: Solve for x
    x = 124,484,740,796,529/7,662,822
  6. Step 6: Final answer
    x = 16,245,286.76

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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.