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Finding the Third Proportional to 8,385,761 and 17,967,447

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Solution

The third proportional to 8,385,761 and 17,967,447 is: 38,497,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,761 : 17,967,447 = 17,967,447 : x
  2. Step 2: Convert to fraction form
    8,385,761/17,967,447 = 17,967,447/x
  3. Step 3: Cross multiply
    8,385,761x = 17,967,447 × 17,967,447
  4. Step 4: Simplify right side
    8,385,761x = 322,829,151,697,809
  5. Step 5: Solve for x
    x = 322,829,151,697,809/8,385,761
  6. Step 6: Final answer
    x = 38,497,299.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.