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Finding the Third Proportional to 1,647,672,255 and 2,486,831,150.25

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Solution

The third proportional to 1,647,672,255 and 2,486,831,150.25 is: 3,753,373,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647,672,255 : 2,486,831,150.25 = 2,486,831,150.25 : x
  2. Step 2: Convert to fraction form
    1,647,672,255/2,486,831,150.25 = 2,486,831,150.25/x
  3. Step 3: Cross multiply
    1,647,672,255x = 2,486,831,150.25 × 2,486,831,150.25
  4. Step 4: Simplify right side
    1,647,672,255x = 6,184,329,169,853,737,984
  5. Step 5: Solve for x
    x = 6,184,329,169,853,737,984/1,647,672,255
  6. Step 6: Final answer
    x = 3,753,373,373.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.