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Finding the Third Proportional to 7,656,876.84 and 16,823,057.06

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Solution

The third proportional to 7,656,876.84 and 16,823,057.06 is: 36,962,230.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,876.84 : 16,823,057.06 = 16,823,057.06 : x
  2. Step 2: Convert to fraction form
    7,656,876.84/16,823,057.06 = 16,823,057.06/x
  3. Step 3: Cross multiply
    7,656,876.84x = 16,823,057.06 × 16,823,057.06
  4. Step 4: Simplify right side
    7,656,876.84x = 283,015,248,928,131.12
  5. Step 5: Solve for x
    x = 283,015,248,928,131.12/7,656,876.84
  6. Step 6: Final answer
    x = 36,962,230.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.