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Finding the Third Proportional to 829,375,868.25 and 1,781,835,208.50

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Solution

The third proportional to 829,375,868.25 and 1,781,835,208.50 is: 3,828,103,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,375,868.25 : 1,781,835,208.50 = 1,781,835,208.50 : x
  2. Step 2: Convert to fraction form
    829,375,868.25/1,781,835,208.50 = 1,781,835,208.50/x
  3. Step 3: Cross multiply
    829,375,868.25x = 1,781,835,208.50 × 1,781,835,208.50
  4. Step 4: Simplify right side
    829,375,868.25x = 3,174,936,710,250,238,464
  5. Step 5: Solve for x
    x = 3,174,936,710,250,238,464/829,375,868.25
  6. Step 6: Final answer
    x = 3,828,103,555.69

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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.