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Finding the Third Proportional to 7,816,205 and 16,969,288

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Solution

The third proportional to 7,816,205 and 16,969,288 is: 36,840,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,205 : 16,969,288 = 16,969,288 : x
  2. Step 2: Convert to fraction form
    7,816,205/16,969,288 = 16,969,288/x
  3. Step 3: Cross multiply
    7,816,205x = 16,969,288 × 16,969,288
  4. Step 4: Simplify right side
    7,816,205x = 287,956,735,226,944
  5. Step 5: Solve for x
    x = 287,956,735,226,944/7,816,205
  6. Step 6: Final answer
    x = 36,840,990.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.