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Finding the Third Proportional to 177,452,690,416 and 394,581,269,984

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Solution

The third proportional to 177,452,690,416 and 394,581,269,984 is: 877,385,280,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,452,690,416 : 394,581,269,984 = 394,581,269,984 : x
  2. Step 2: Convert to fraction form
    177,452,690,416/394,581,269,984 = 394,581,269,984/x
  3. Step 3: Cross multiply
    177,452,690,416x = 394,581,269,984 × 394,581,269,984
  4. Step 4: Simplify right side
    177,452,690,416x = 155,694,378,622,186,292,248,576
  5. Step 5: Solve for x
    x = 155,694,378,622,186,292,248,576/177,452,690,416
  6. Step 6: Final answer
    x = 877,385,280,872.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.