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Finding the Third Proportional to 13,124,340 and 20,546,692

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Solution

The third proportional to 13,124,340 and 20,546,692 is: 32,166,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,124,340 : 20,546,692 = 20,546,692 : x
  2. Step 2: Convert to fraction form
    13,124,340/20,546,692 = 20,546,692/x
  3. Step 3: Cross multiply
    13,124,340x = 20,546,692 × 20,546,692
  4. Step 4: Simplify right side
    13,124,340x = 422,166,552,142,864
  5. Step 5: Solve for x
    x = 422,166,552,142,864/13,124,340
  6. Step 6: Final answer
    x = 32,166,688.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.