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Finding the Third Proportional to 3,163,806.84 and 6,775,986.66

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Solution

The third proportional to 3,163,806.84 and 6,775,986.66 is: 14,512,262.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,806.84 : 6,775,986.66 = 6,775,986.66 : x
  2. Step 2: Convert to fraction form
    3,163,806.84/6,775,986.66 = 6,775,986.66/x
  3. Step 3: Cross multiply
    3,163,806.84x = 6,775,986.66 × 6,775,986.66
  4. Step 4: Simplify right side
    3,163,806.84x = 45,913,995,165,678.05
  5. Step 5: Solve for x
    x = 45,913,995,165,678.05/3,163,806.84
  6. Step 6: Final answer
    x = 14,512,262.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.