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Finding the Third Proportional to 71,575,372,714.78 and 155,717,244,490.79

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Solution

The third proportional to 71,575,372,714.78 and 155,717,244,490.79 is: 338,773,789,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,575,372,714.78 : 155,717,244,490.79 = 155,717,244,490.79 : x
  2. Step 2: Convert to fraction form
    71,575,372,714.78/155,717,244,490.79 = 155,717,244,490.79/x
  3. Step 3: Cross multiply
    71,575,372,714.78x = 155,717,244,490.79 × 155,717,244,490.79
  4. Step 4: Simplify right side
    71,575,372,714.78x = 24,247,860,231,804,471,476,224
  5. Step 5: Solve for x
    x = 24,247,860,231,804,471,476,224/71,575,372,714.78
  6. Step 6: Final answer
    x = 338,773,789,253.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.