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Finding the Third Proportional to 3,101,956.88 and 6,816,205.50

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Solution

The third proportional to 3,101,956.88 and 6,816,205.50 is: 14,977,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101,956.88 : 6,816,205.50 = 6,816,205.50 : x
  2. Step 2: Convert to fraction form
    3,101,956.88/6,816,205.50 = 6,816,205.50/x
  3. Step 3: Cross multiply
    3,101,956.88x = 6,816,205.50 × 6,816,205.50
  4. Step 4: Simplify right side
    3,101,956.88x = 46,460,657,418,230.25
  5. Step 5: Solve for x
    x = 46,460,657,418,230.25/3,101,956.88
  6. Step 6: Final answer
    x = 14,977,854.07

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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.