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Finding the Third Proportional to 10,205,050 and 22,203,692

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Solution

The third proportional to 10,205,050 and 22,203,692 is: 48,309,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,050 : 22,203,692 = 22,203,692 : x
  2. Step 2: Convert to fraction form
    10,205,050/22,203,692 = 22,203,692/x
  3. Step 3: Cross multiply
    10,205,050x = 22,203,692 × 22,203,692
  4. Step 4: Simplify right side
    10,205,050x = 493,003,938,430,864
  5. Step 5: Solve for x
    x = 493,003,938,430,864/10,205,050
  6. Step 6: Final answer
    x = 48,309,801.37

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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.