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Finding the Third Proportional to 10,203,752 and 22,201,042

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Solution

The third proportional to 10,203,752 and 22,201,042 is: 48,304,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203,752 : 22,201,042 = 22,201,042 : x
  2. Step 2: Convert to fraction form
    10,203,752/22,201,042 = 22,201,042/x
  3. Step 3: Cross multiply
    10,203,752x = 22,201,042 × 22,201,042
  4. Step 4: Simplify right side
    10,203,752x = 492,886,265,885,764
  5. Step 5: Solve for x
    x = 492,886,265,885,764/10,203,752
  6. Step 6: Final answer
    x = 48,304,414.48

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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.