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Finding the Third Proportional to 10,633,533 and 22,780,212

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Solution

The third proportional to 10,633,533 and 22,780,212 is: 48,802,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,533 : 22,780,212 = 22,780,212 : x
  2. Step 2: Convert to fraction form
    10,633,533/22,780,212 = 22,780,212/x
  3. Step 3: Cross multiply
    10,633,533x = 22,780,212 × 22,780,212
  4. Step 4: Simplify right side
    10,633,533x = 518,938,058,764,944
  5. Step 5: Solve for x
    x = 518,938,058,764,944/10,633,533
  6. Step 6: Final answer
    x = 48,802,035.86

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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.