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Finding the Third Proportional to 12,770,196.75 and 28,374,745.50

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Solution

The third proportional to 12,770,196.75 and 28,374,745.50 is: 63,047,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770,196.75 : 28,374,745.50 = 28,374,745.50 : x
  2. Step 2: Convert to fraction form
    12,770,196.75/28,374,745.50 = 28,374,745.50/x
  3. Step 3: Cross multiply
    12,770,196.75x = 28,374,745.50 × 28,374,745.50
  4. Step 4: Simplify right side
    12,770,196.75x = 805,126,182,189,770.25
  5. Step 5: Solve for x
    x = 805,126,182,189,770.25/12,770,196.75
  6. Step 6: Final answer
    x = 63,047,280.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.