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Finding the Third Proportional to 37,288,026,496 and 79,894,714,516

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Solution

The third proportional to 37,288,026,496 and 79,894,714,516 is: 171,185,391,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288,026,496 : 79,894,714,516 = 79,894,714,516 : x
  2. Step 2: Convert to fraction form
    37,288,026,496/79,894,714,516 = 79,894,714,516/x
  3. Step 3: Cross multiply
    37,288,026,496x = 79,894,714,516 × 79,894,714,516
  4. Step 4: Simplify right side
    37,288,026,496x = 6,383,165,407,593,141,108,736
  5. Step 5: Solve for x
    x = 6,383,165,407,593,141,108,736/37,288,026,496
  6. Step 6: Final answer
    x = 171,185,391,328.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.