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Finding the Third Proportional to 8,383,953 and 17,963,101

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Solution

The third proportional to 8,383,953 and 17,963,101 is: 38,486,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383,953 : 17,963,101 = 17,963,101 : x
  2. Step 2: Convert to fraction form
    8,383,953/17,963,101 = 17,963,101/x
  3. Step 3: Cross multiply
    8,383,953x = 17,963,101 × 17,963,101
  4. Step 4: Simplify right side
    8,383,953x = 322,672,997,536,201
  5. Step 5: Solve for x
    x = 322,672,997,536,201/8,383,953
  6. Step 6: Final answer
    x = 38,486,975.96

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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.