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Finding the Third Proportional to 324,370,035 and 671,735,133

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Solution

The third proportional to 324,370,035 and 671,735,133 is: 1,391,090,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,370,035 : 671,735,133 = 671,735,133 : x
  2. Step 2: Convert to fraction form
    324,370,035/671,735,133 = 671,735,133/x
  3. Step 3: Cross multiply
    324,370,035x = 671,735,133 × 671,735,133
  4. Step 4: Simplify right side
    324,370,035x = 451,228,088,906,527,680
  5. Step 5: Solve for x
    x = 451,228,088,906,527,680/324,370,035
  6. Step 6: Final answer
    x = 1,391,090,545.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.