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Finding the Third Proportional to 64,625,046,933 and 141,424,036,101

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Solution

The third proportional to 64,625,046,933 and 141,424,036,101 is: 309,489,260,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,625,046,933 : 141,424,036,101 = 141,424,036,101 : x
  2. Step 2: Convert to fraction form
    64,625,046,933/141,424,036,101 = 141,424,036,101/x
  3. Step 3: Cross multiply
    64,625,046,933x = 141,424,036,101 × 141,424,036,101
  4. Step 4: Simplify right side
    64,625,046,933x = 20,000,757,987,096,949,424,128
  5. Step 5: Solve for x
    x = 20,000,757,987,096,949,424,128/64,625,046,933
  6. Step 6: Final answer
    x = 309,489,260,531.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.