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Finding the Third Proportional to 614,792,230.50 and 1,317,449,373

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Solution

The third proportional to 614,792,230.50 and 1,317,449,373 is: 2,823,186,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792,230.50 : 1,317,449,373 = 1,317,449,373 : x
  2. Step 2: Convert to fraction form
    614,792,230.50/1,317,449,373 = 1,317,449,373/x
  3. Step 3: Cross multiply
    614,792,230.50x = 1,317,449,373 × 1,317,449,373
  4. Step 4: Simplify right side
    614,792,230.50x = 1,735,672,850,418,093,056
  5. Step 5: Solve for x
    x = 1,735,672,850,418,093,056/614,792,230.50
  6. Step 6: Final answer
    x = 2,823,186,052.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.