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Finding the Third Proportional to 9,641,210 and 12,795,318

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Solution

The third proportional to 9,641,210 and 12,795,318 is: 16,981,287.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641,210 : 12,795,318 = 12,795,318 : x
  2. Step 2: Convert to fraction form
    9,641,210/12,795,318 = 12,795,318/x
  3. Step 3: Cross multiply
    9,641,210x = 12,795,318 × 12,795,318
  4. Step 4: Simplify right side
    9,641,210x = 163,720,162,721,124
  5. Step 5: Solve for x
    x = 163,720,162,721,124/9,641,210
  6. Step 6: Final answer
    x = 16,981,287.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.