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Finding the Third Proportional to 11,761,596 and 25,325,402

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Solution

The third proportional to 11,761,596 and 25,325,402 is: 54,531,373.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,596 : 25,325,402 = 25,325,402 : x
  2. Step 2: Convert to fraction form
    11,761,596/25,325,402 = 25,325,402/x
  3. Step 3: Cross multiply
    11,761,596x = 25,325,402 × 25,325,402
  4. Step 4: Simplify right side
    11,761,596x = 641,375,986,461,604
  5. Step 5: Solve for x
    x = 641,375,986,461,604/11,761,596
  6. Step 6: Final answer
    x = 54,531,373.67

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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.