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Finding the Third Proportional to 48,843,795.75 and 73,374,103.50

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Solution

The third proportional to 48,843,795.75 and 73,374,103.50 is: 110,224,010.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,843,795.75 : 73,374,103.50 = 73,374,103.50 : x
  2. Step 2: Convert to fraction form
    48,843,795.75/73,374,103.50 = 73,374,103.50/x
  3. Step 3: Cross multiply
    48,843,795.75x = 73,374,103.50 × 73,374,103.50
  4. Step 4: Simplify right side
    48,843,795.75x = 5,383,759,064,428,712
  5. Step 5: Solve for x
    x = 5,383,759,064,428,712/48,843,795.75
  6. Step 6: Final answer
    x = 110,224,010.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.