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Finding the Third Proportional to 5,909,224 and 12,701,176

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Solution

The third proportional to 5,909,224 and 12,701,176 is: 27,299,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909,224 : 12,701,176 = 12,701,176 : x
  2. Step 2: Convert to fraction form
    5,909,224/12,701,176 = 12,701,176/x
  3. Step 3: Cross multiply
    5,909,224x = 12,701,176 × 12,701,176
  4. Step 4: Simplify right side
    5,909,224x = 161,319,871,782,976
  5. Step 5: Solve for x
    x = 161,319,871,782,976/5,909,224
  6. Step 6: Final answer
    x = 27,299,671.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.