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Finding the Third Proportional to 75,917,463,384 and 163,260,243,970

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Solution

The third proportional to 75,917,463,384 and 163,260,243,970 is: 351,090,593,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,917,463,384 : 163,260,243,970 = 163,260,243,970 : x
  2. Step 2: Convert to fraction form
    75,917,463,384/163,260,243,970 = 163,260,243,970/x
  3. Step 3: Cross multiply
    75,917,463,384x = 163,260,243,970 × 163,260,243,970
  4. Step 4: Simplify right side
    75,917,463,384x = 26,653,907,261,143,920,934,912
  5. Step 5: Solve for x
    x = 26,653,907,261,143,920,934,912/75,917,463,384
  6. Step 6: Final answer
    x = 351,090,593,297.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.