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Finding the Third Proportional to 274,911,521,355 and 591,838,080,873.75

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Solution

The third proportional to 274,911,521,355 and 591,838,080,873.75 is: 1,274,127,443,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,911,521,355 : 591,838,080,873.75 = 591,838,080,873.75 : x
  2. Step 2: Convert to fraction form
    274,911,521,355/591,838,080,873.75 = 591,838,080,873.75/x
  3. Step 3: Cross multiply
    274,911,521,355x = 591,838,080,873.75 × 591,838,080,873.75
  4. Step 4: Simplify right side
    274,911,521,355x = 350,272,313,972,323,424,141,312
  5. Step 5: Solve for x
    x = 350,272,313,972,323,424,141,312/274,911,521,355
  6. Step 6: Final answer
    x = 1,274,127,443,789.48

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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.