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Finding the Third Proportional to 38,902,644 and 90,052,614

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Solution

The third proportional to 38,902,644 and 90,052,614 is: 208,455,581.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902,644 : 90,052,614 = 90,052,614 : x
  2. Step 2: Convert to fraction form
    38,902,644/90,052,614 = 90,052,614/x
  3. Step 3: Cross multiply
    38,902,644x = 90,052,614 × 90,052,614
  4. Step 4: Simplify right side
    38,902,644x = 8,109,473,288,232,996
  5. Step 5: Solve for x
    x = 8,109,473,288,232,996/38,902,644
  6. Step 6: Final answer
    x = 208,455,581.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.