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Finding the Third Proportional to 310,305,906 and 675,092,470.50

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Solution

The third proportional to 310,305,906 and 675,092,470.50 is: 1,468,711,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,305,906 : 675,092,470.50 = 675,092,470.50 : x
  2. Step 2: Convert to fraction form
    310,305,906/675,092,470.50 = 675,092,470.50/x
  3. Step 3: Cross multiply
    310,305,906x = 675,092,470.50 × 675,092,470.50
  4. Step 4: Simplify right side
    310,305,906x = 455,749,843,725,793,344
  5. Step 5: Solve for x
    x = 455,749,843,725,793,344/310,305,906
  6. Step 6: Final answer
    x = 1,468,711,471.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.