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Finding the Third Proportional to 65,001,958,296 and 91,537,081,092

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Solution

The third proportional to 65,001,958,296 and 91,537,081,092 is: 128,904,381,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,958,296 : 91,537,081,092 = 91,537,081,092 : x
  2. Step 2: Convert to fraction form
    65,001,958,296/91,537,081,092 = 91,537,081,092/x
  3. Step 3: Cross multiply
    65,001,958,296x = 91,537,081,092 × 91,537,081,092
  4. Step 4: Simplify right side
    65,001,958,296x = 8,379,037,214,843,383,840,768
  5. Step 5: Solve for x
    x = 8,379,037,214,843,383,840,768/65,001,958,296
  6. Step 6: Final answer
    x = 128,904,381,260.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.