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Finding the Third Proportional to 34,517,618,436,998 and 75,111,728,202,256

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Solution

The third proportional to 34,517,618,436,998 and 75,111,728,202,256 is: 163,446,146,315,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,517,618,436,998 : 75,111,728,202,256 = 75,111,728,202,256 : x
  2. Step 2: Convert to fraction form
    34,517,618,436,998/75,111,728,202,256 = 75,111,728,202,256/x
  3. Step 3: Cross multiply
    34,517,618,436,998x = 75,111,728,202,256 × 75,111,728,202,256
  4. Step 4: Simplify right side
    34,517,618,436,998x = 5,641,771,713,529,579,245,720,829,952
  5. Step 5: Solve for x
    x = 5,641,771,713,529,579,245,720,829,952/34,517,618,436,998
  6. Step 6: Final answer
    x = 163,446,146,315,888.31

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Why These Related Problems?

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