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Finding the Third Proportional to 251,174,773,651 and 386,073,635,356

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Solution

The third proportional to 251,174,773,651 and 386,073,635,356 is: 593,422,857,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,174,773,651 : 386,073,635,356 = 386,073,635,356 : x
  2. Step 2: Convert to fraction form
    251,174,773,651/386,073,635,356 = 386,073,635,356/x
  3. Step 3: Cross multiply
    251,174,773,651x = 386,073,635,356 × 386,073,635,356
  4. Step 4: Simplify right side
    251,174,773,651x = 149,052,851,916,997,658,673,152
  5. Step 5: Solve for x
    x = 149,052,851,916,997,658,673,152/251,174,773,651
  6. Step 6: Final answer
    x = 593,422,857,520.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.