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Finding the Third Proportional to 65,001,958,302 and 91,537,081,101

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Solution

The third proportional to 65,001,958,302 and 91,537,081,101 is: 128,904,381,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001,958,302 : 91,537,081,101 = 91,537,081,101 : x
  2. Step 2: Convert to fraction form
    65,001,958,302/91,537,081,101 = 91,537,081,101/x
  3. Step 3: Cross multiply
    65,001,958,302x = 91,537,081,101 × 91,537,081,101
  4. Step 4: Simplify right side
    65,001,958,302x = 8,379,037,216,491,051,155,456
  5. Step 5: Solve for x
    x = 8,379,037,216,491,051,155,456/65,001,958,302
  6. Step 6: Final answer
    x = 128,904,381,273.59

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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.