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Finding the Third Proportional to 4,615,711 and 10,044,175

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Solution

The third proportional to 4,615,711 and 10,044,175 is: 21,856,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,711 : 10,044,175 = 10,044,175 : x
  2. Step 2: Convert to fraction form
    4,615,711/10,044,175 = 10,044,175/x
  3. Step 3: Cross multiply
    4,615,711x = 10,044,175 × 10,044,175
  4. Step 4: Simplify right side
    4,615,711x = 100,885,451,430,625
  5. Step 5: Solve for x
    x = 100,885,451,430,625/4,615,711
  6. Step 6: Final answer
    x = 21,856,968.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.