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Finding the Third Proportional to 10,205,232 and 22,203,984

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Solution

The third proportional to 10,205,232 and 22,203,984 is: 48,310,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,232 : 22,203,984 = 22,203,984 : x
  2. Step 2: Convert to fraction form
    10,205,232/22,203,984 = 22,203,984/x
  3. Step 3: Cross multiply
    10,205,232x = 22,203,984 × 22,203,984
  4. Step 4: Simplify right side
    10,205,232x = 493,016,905,472,256
  5. Step 5: Solve for x
    x = 493,016,905,472,256/10,205,232
  6. Step 6: Final answer
    x = 48,310,210.44

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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.