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Finding the Third Proportional to 5,909,288 and 12,701,341

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Solution

The third proportional to 5,909,288 and 12,701,341 is: 27,300,084.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909,288 : 12,701,341 = 12,701,341 : x
  2. Step 2: Convert to fraction form
    5,909,288/12,701,341 = 12,701,341/x
  3. Step 3: Cross multiply
    5,909,288x = 12,701,341 × 12,701,341
  4. Step 4: Simplify right side
    5,909,288x = 161,324,063,198,281
  5. Step 5: Solve for x
    x = 161,324,063,198,281/5,909,288
  6. Step 6: Final answer
    x = 27,300,084.75

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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.