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Finding the Third Proportional to 32,831,524 and 49,063,520

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Solution

The third proportional to 32,831,524 and 49,063,520 is: 73,320,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,831,524 : 49,063,520 = 49,063,520 : x
  2. Step 2: Convert to fraction form
    32,831,524/49,063,520 = 49,063,520/x
  3. Step 3: Cross multiply
    32,831,524x = 49,063,520 × 49,063,520
  4. Step 4: Simplify right side
    32,831,524x = 2,407,228,994,790,400
  5. Step 5: Solve for x
    x = 2,407,228,994,790,400/32,831,524
  6. Step 6: Final answer
    x = 73,320,659.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.