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Finding the Third Proportional to 409,107,545.50 and 894,741,137

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Solution

The third proportional to 409,107,545.50 and 894,741,137 is: 1,956,849,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107,545.50 : 894,741,137 = 894,741,137 : x
  2. Step 2: Convert to fraction form
    409,107,545.50/894,741,137 = 894,741,137/x
  3. Step 3: Cross multiply
    409,107,545.50x = 894,741,137 × 894,741,137
  4. Step 4: Simplify right side
    409,107,545.50x = 800,561,702,240,052,736
  5. Step 5: Solve for x
    x = 800,561,702,240,052,736/409,107,545.50
  6. Step 6: Final answer
    x = 1,956,849,026.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.