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Finding the Third Proportional to 666,846,974,908.50 and 899,733,141,180

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Solution

The third proportional to 666,846,974,908.50 and 899,733,141,180 is: 1,213,951,259,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,846,974,908.50 : 899,733,141,180 = 899,733,141,180 : x
  2. Step 2: Convert to fraction form
    666,846,974,908.50/899,733,141,180 = 899,733,141,180/x
  3. Step 3: Cross multiply
    666,846,974,908.50x = 899,733,141,180 × 899,733,141,180
  4. Step 4: Simplify right side
    666,846,974,908.50x = 809,519,725,337,629,769,596,928
  5. Step 5: Solve for x
    x = 809,519,725,337,629,769,596,928/666,846,974,908.50
  6. Step 6: Final answer
    x = 1,213,951,259,880.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.