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Finding the Third Proportional to 32,122,410 and 48,936,462

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Solution

The third proportional to 32,122,410 and 48,936,462 is: 74,551,607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122,410 : 48,936,462 = 48,936,462 : x
  2. Step 2: Convert to fraction form
    32,122,410/48,936,462 = 48,936,462/x
  3. Step 3: Cross multiply
    32,122,410x = 48,936,462 × 48,936,462
  4. Step 4: Simplify right side
    32,122,410x = 2,394,777,313,077,444
  5. Step 5: Solve for x
    x = 2,394,777,313,077,444/32,122,410
  6. Step 6: Final answer
    x = 74,551,607.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.