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Finding the Third Proportional to 67,542,496 and 159,283,968

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Solution

The third proportional to 67,542,496 and 159,283,968 is: 375,635,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,542,496 : 159,283,968 = 159,283,968 : x
  2. Step 2: Convert to fraction form
    67,542,496/159,283,968 = 159,283,968/x
  3. Step 3: Cross multiply
    67,542,496x = 159,283,968 × 159,283,968
  4. Step 4: Simplify right side
    67,542,496x = 25,371,382,461,825,024
  5. Step 5: Solve for x
    x = 25,371,382,461,825,024/67,542,496
  6. Step 6: Final answer
    x = 375,635,843.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.