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Finding the Third Proportional to 829,375,884 and 1,781,835,240

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Solution

The third proportional to 829,375,884 and 1,781,835,240 is: 3,828,103,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,375,884 : 1,781,835,240 = 1,781,835,240 : x
  2. Step 2: Convert to fraction form
    829,375,884/1,781,835,240 = 1,781,835,240/x
  3. Step 3: Cross multiply
    829,375,884x = 1,781,835,240 × 1,781,835,240
  4. Step 4: Simplify right side
    829,375,884x = 3,174,936,822,505,857,536
  5. Step 5: Solve for x
    x = 3,174,936,822,505,857,536/829,375,884
  6. Step 6: Final answer
    x = 3,828,103,618.34

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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.