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Finding the Third Proportional to 807,624,048,135 and 1,744,198,109,200

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Solution

The third proportional to 807,624,048,135 and 1,744,198,109,200 is: 3,766,885,162,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,624,048,135 : 1,744,198,109,200 = 1,744,198,109,200 : x
  2. Step 2: Convert to fraction form
    807,624,048,135/1,744,198,109,200 = 1,744,198,109,200/x
  3. Step 3: Cross multiply
    807,624,048,135x = 1,744,198,109,200 × 1,744,198,109,200
  4. Step 4: Simplify right side
    807,624,048,135x = 3,042,227,044,136,855,223,140,352
  5. Step 5: Solve for x
    x = 3,042,227,044,136,855,223,140,352/807,624,048,135
  6. Step 6: Final answer
    x = 3,766,885,162,919.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.