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Finding the Third Proportional to 850,789,884 and 1,846,781,988

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Solution

The third proportional to 850,789,884 and 1,846,781,988 is: 4,008,749,722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,789,884 : 1,846,781,988 = 1,846,781,988 : x
  2. Step 2: Convert to fraction form
    850,789,884/1,846,781,988 = 1,846,781,988/x
  3. Step 3: Cross multiply
    850,789,884x = 1,846,781,988 × 1,846,781,988
  4. Step 4: Simplify right side
    850,789,884x = 3,410,603,711,201,232,384
  5. Step 5: Solve for x
    x = 3,410,603,711,201,232,384/850,789,884
  6. Step 6: Final answer
    x = 4,008,749,722.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.