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Finding the Third Proportional to 4,854,170 and 10,516,072

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Solution

The third proportional to 4,854,170 and 10,516,072 is: 22,782,014.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854,170 : 10,516,072 = 10,516,072 : x
  2. Step 2: Convert to fraction form
    4,854,170/10,516,072 = 10,516,072/x
  3. Step 3: Cross multiply
    4,854,170x = 10,516,072 × 10,516,072
  4. Step 4: Simplify right side
    4,854,170x = 110,587,770,309,184
  5. Step 5: Solve for x
    x = 110,587,770,309,184/4,854,170
  6. Step 6: Final answer
    x = 22,782,014.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.