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Finding the Third Proportional to 6,957,786.73 and 14,102,561.95

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Solution

The third proportional to 6,957,786.73 and 14,102,561.95 is: 28,584,126.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957,786.73 : 14,102,561.95 = 14,102,561.95 : x
  2. Step 2: Convert to fraction form
    6,957,786.73/14,102,561.95 = 14,102,561.95/x
  3. Step 3: Cross multiply
    6,957,786.73x = 14,102,561.95 × 14,102,561.95
  4. Step 4: Simplify right side
    6,957,786.73x = 198,882,253,641,728.81
  5. Step 5: Solve for x
    x = 198,882,253,641,728.81/6,957,786.73
  6. Step 6: Final answer
    x = 28,584,126.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.