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Finding the Third Proportional to 829,375,881 and 1,781,835,234

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Solution

The third proportional to 829,375,881 and 1,781,835,234 is: 3,828,103,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,375,881 : 1,781,835,234 = 1,781,835,234 : x
  2. Step 2: Convert to fraction form
    829,375,881/1,781,835,234 = 1,781,835,234/x
  3. Step 3: Cross multiply
    829,375,881x = 1,781,835,234 × 1,781,835,234
  4. Step 4: Simplify right side
    829,375,881x = 3,174,936,801,123,834,880
  5. Step 5: Solve for x
    x = 3,174,936,801,123,834,880/829,375,881
  6. Step 6: Final answer
    x = 3,828,103,606.41

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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.