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Finding the Third Proportional to 2,331,593,364 and 3,334,204,119

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Solution

The third proportional to 2,331,593,364 and 3,334,204,119 is: 4,767,948,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331,593,364 : 3,334,204,119 = 3,334,204,119 : x
  2. Step 2: Convert to fraction form
    2,331,593,364/3,334,204,119 = 3,334,204,119/x
  3. Step 3: Cross multiply
    2,331,593,364x = 3,334,204,119 × 3,334,204,119
  4. Step 4: Simplify right side
    2,331,593,364x = 11,116,917,107,156,566,016
  5. Step 5: Solve for x
    x = 11,116,917,107,156,566,016/2,331,593,364
  6. Step 6: Final answer
    x = 4,767,948,510.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.