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Finding the Third Proportional to 27,707,743,872 and 60,494,328,264

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Solution

The third proportional to 27,707,743,872 and 60,494,328,264 is: 132,077,291,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707,743,872 : 60,494,328,264 = 60,494,328,264 : x
  2. Step 2: Convert to fraction form
    27,707,743,872/60,494,328,264 = 60,494,328,264/x
  3. Step 3: Cross multiply
    27,707,743,872x = 60,494,328,264 × 60,494,328,264
  4. Step 4: Simplify right side
    27,707,743,872x = 3,659,563,752,112,589,373,440
  5. Step 5: Solve for x
    x = 3,659,563,752,112,589,373,440/27,707,743,872
  6. Step 6: Final answer
    x = 132,077,291,064.13

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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.