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Finding the Third Proportional to 829,388,406 and 1,781,860,321.50

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Solution

The third proportional to 829,388,406 and 1,781,860,321.50 is: 3,828,153,591.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,388,406 : 1,781,860,321.50 = 1,781,860,321.50 : x
  2. Step 2: Convert to fraction form
    829,388,406/1,781,860,321.50 = 1,781,860,321.50/x
  3. Step 3: Cross multiply
    829,388,406x = 1,781,860,321.50 × 1,781,860,321.50
  4. Step 4: Simplify right side
    829,388,406x = 3,175,026,205,336,083,456
  5. Step 5: Solve for x
    x = 3,175,026,205,336,083,456/829,388,406
  6. Step 6: Final answer
    x = 3,828,153,591.69

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