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Finding the Third Proportional to 666,846,974,909.50 and 899,733,141,181.50

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Solution

The third proportional to 666,846,974,909.50 and 899,733,141,181.50 is: 1,213,951,259,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,846,974,909.50 : 899,733,141,181.50 = 899,733,141,181.50 : x
  2. Step 2: Convert to fraction form
    666,846,974,909.50/899,733,141,181.50 = 899,733,141,181.50/x
  3. Step 3: Cross multiply
    666,846,974,909.50x = 899,733,141,181.50 × 899,733,141,181.50
  4. Step 4: Simplify right side
    666,846,974,909.50x = 809,519,725,340,329,022,324,736
  5. Step 5: Solve for x
    x = 809,519,725,340,329,022,324,736/666,846,974,909.50
  6. Step 6: Final answer
    x = 1,213,951,259,882.66

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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.