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Finding the Third Proportional to 32,871,538 and 51,296,920

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Solution

The third proportional to 32,871,538 and 51,296,920 is: 80,050,224.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871,538 : 51,296,920 = 51,296,920 : x
  2. Step 2: Convert to fraction form
    32,871,538/51,296,920 = 51,296,920/x
  3. Step 3: Cross multiply
    32,871,538x = 51,296,920 × 51,296,920
  4. Step 4: Simplify right side
    32,871,538x = 2,631,374,001,486,400
  5. Step 5: Solve for x
    x = 2,631,374,001,486,400/32,871,538
  6. Step 6: Final answer
    x = 80,050,224.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.