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Finding the Third Proportional to 842,380,098.75 and 1,878,337,764

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Solution

The third proportional to 842,380,098.75 and 1,878,337,764 is: 4,188,314,468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,380,098.75 : 1,878,337,764 = 1,878,337,764 : x
  2. Step 2: Convert to fraction form
    842,380,098.75/1,878,337,764 = 1,878,337,764/x
  3. Step 3: Cross multiply
    842,380,098.75x = 1,878,337,764 × 1,878,337,764
  4. Step 4: Simplify right side
    842,380,098.75x = 3,528,152,755,668,519,936
  5. Step 5: Solve for x
    x = 3,528,152,755,668,519,936/842,380,098.75
  6. Step 6: Final answer
    x = 4,188,314,468.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.