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Finding the Third Proportional to 24,305,346 and 37,269,841.50

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Solution

The third proportional to 24,305,346 and 37,269,841.50 is: 57,149,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305,346 : 37,269,841.50 = 37,269,841.50 : x
  2. Step 2: Convert to fraction form
    24,305,346/37,269,841.50 = 37,269,841.50/x
  3. Step 3: Cross multiply
    24,305,346x = 37,269,841.50 × 37,269,841.50
  4. Step 4: Simplify right side
    24,305,346x = 1,389,041,085,435,122.25
  5. Step 5: Solve for x
    x = 1,389,041,085,435,122.25/24,305,346
  6. Step 6: Final answer
    x = 57,149,611.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.