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Finding the Third Proportional to 12,141,100,818 and 27,073,834,236

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Solution

The third proportional to 12,141,100,818 and 27,073,834,236 is: 60,372,820,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,141,100,818 : 27,073,834,236 = 27,073,834,236 : x
  2. Step 2: Convert to fraction form
    12,141,100,818/27,073,834,236 = 27,073,834,236/x
  3. Step 3: Cross multiply
    12,141,100,818x = 27,073,834,236 × 27,073,834,236
  4. Step 4: Simplify right side
    12,141,100,818x = 732,992,500,238,405,730,304
  5. Step 5: Solve for x
    x = 732,992,500,238,405,730,304/12,141,100,818
  6. Step 6: Final answer
    x = 60,372,820,490.19

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.