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Finding the Third Proportional to 829,375,876 and 1,781,835,223

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Solution

The third proportional to 829,375,876 and 1,781,835,223 is: 3,828,103,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,375,876 : 1,781,835,223 = 1,781,835,223 : x
  2. Step 2: Convert to fraction form
    829,375,876/1,781,835,223 = 1,781,835,223/x
  3. Step 3: Cross multiply
    829,375,876x = 1,781,835,223 × 1,781,835,223
  4. Step 4: Simplify right side
    829,375,876x = 3,174,936,761,923,459,584
  5. Step 5: Solve for x
    x = 3,174,936,761,923,459,584/829,375,876
  6. Step 6: Final answer
    x = 3,828,103,582.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.