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Finding the Third Proportional to 12,501,162,225,404 and 27,079,630,741,510

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Solution

The third proportional to 12,501,162,225,404 and 27,079,630,741,510 is: 58,659,058,083,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501,162,225,404 : 27,079,630,741,510 = 27,079,630,741,510 : x
  2. Step 2: Convert to fraction form
    12,501,162,225,404/27,079,630,741,510 = 27,079,630,741,510/x
  3. Step 3: Cross multiply
    12,501,162,225,404x = 27,079,630,741,510 × 27,079,630,741,510
  4. Step 4: Simplify right side
    12,501,162,225,404x = 733,306,401,096,533,464,628,330,496
  5. Step 5: Solve for x
    x = 733,306,401,096,533,464,628,330,496/12,501,162,225,404
  6. Step 6: Final answer
    x = 58,659,058,083,924.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.