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Finding the Third Proportional to 11,374,728 and 24,343,778.50

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Solution

The third proportional to 11,374,728 and 24,343,778.50 is: 52,099,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374,728 : 24,343,778.50 = 24,343,778.50 : x
  2. Step 2: Convert to fraction form
    11,374,728/24,343,778.50 = 24,343,778.50/x
  3. Step 3: Cross multiply
    11,374,728x = 24,343,778.50 × 24,343,778.50
  4. Step 4: Simplify right side
    11,374,728x = 592,619,551,657,062.25
  5. Step 5: Solve for x
    x = 592,619,551,657,062.25/11,374,728
  6. Step 6: Final answer
    x = 52,099,667.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.