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Finding the Third Proportional to 404,873,188,614 and 843,257,492,946

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Solution

The third proportional to 404,873,188,614 and 843,257,492,946 is: 1,756,310,912,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,873,188,614 : 843,257,492,946 = 843,257,492,946 : x
  2. Step 2: Convert to fraction form
    404,873,188,614/843,257,492,946 = 843,257,492,946/x
  3. Step 3: Cross multiply
    404,873,188,614x = 843,257,492,946 × 843,257,492,946
  4. Step 4: Simplify right side
    404,873,188,614x = 711,083,199,409,573,280,612,352
  5. Step 5: Solve for x
    x = 711,083,199,409,573,280,612,352/404,873,188,614
  6. Step 6: Final answer
    x = 1,756,310,912,668.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.