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Finding the Third Proportional to 169,824,480 and 371,446,512

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Solution

The third proportional to 169,824,480 and 371,446,512 is: 812,441,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824,480 : 371,446,512 = 371,446,512 : x
  2. Step 2: Convert to fraction form
    169,824,480/371,446,512 = 371,446,512/x
  3. Step 3: Cross multiply
    169,824,480x = 371,446,512 × 371,446,512
  4. Step 4: Simplify right side
    169,824,480x = 137,972,511,276,966,144
  5. Step 5: Solve for x
    x = 137,972,511,276,966,144/169,824,480
  6. Step 6: Final answer
    x = 812,441,829.81

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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.