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Finding the Third Proportional to 38,902,768 and 90,052,984

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Solution

The third proportional to 38,902,768 and 90,052,984 is: 208,456,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,902,768 : 90,052,984 = 90,052,984 : x
  2. Step 2: Convert to fraction form
    38,902,768/90,052,984 = 90,052,984/x
  3. Step 3: Cross multiply
    38,902,768x = 90,052,984 × 90,052,984
  4. Step 4: Simplify right side
    38,902,768x = 8,109,539,927,304,256
  5. Step 5: Solve for x
    x = 8,109,539,927,304,256/38,902,768
  6. Step 6: Final answer
    x = 208,456,630.32

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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.