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Finding the Third Proportional to 807,624,048,152 and 1,744,198,109,230

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Solution

The third proportional to 807,624,048,152 and 1,744,198,109,230 is: 3,766,885,162,969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,624,048,152 : 1,744,198,109,230 = 1,744,198,109,230 : x
  2. Step 2: Convert to fraction form
    807,624,048,152/1,744,198,109,230 = 1,744,198,109,230/x
  3. Step 3: Cross multiply
    807,624,048,152x = 1,744,198,109,230 × 1,744,198,109,230
  4. Step 4: Simplify right side
    807,624,048,152x = 3,042,227,044,241,506,933,145,600
  5. Step 5: Solve for x
    x = 3,042,227,044,241,506,933,145,600/807,624,048,152
  6. Step 6: Final answer
    x = 3,766,885,162,969.96

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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.