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Finding the Third Proportional to 7,906,929 and 11,944,639.50

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Solution

The third proportional to 7,906,929 and 11,944,639.50 is: 18,044,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906,929 : 11,944,639.50 = 11,944,639.50 : x
  2. Step 2: Convert to fraction form
    7,906,929/11,944,639.50 = 11,944,639.50/x
  3. Step 3: Cross multiply
    7,906,929x = 11,944,639.50 × 11,944,639.50
  4. Step 4: Simplify right side
    7,906,929x = 142,674,412,784,960.25
  5. Step 5: Solve for x
    x = 142,674,412,784,960.25/7,906,929
  6. Step 6: Final answer
    x = 18,044,225.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.