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Finding the Third Proportional to 614,792,230 and 1,317,449,371

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Solution

The third proportional to 614,792,230 and 1,317,449,371 is: 2,823,186,046.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,792,230 : 1,317,449,371 = 1,317,449,371 : x
  2. Step 2: Convert to fraction form
    614,792,230/1,317,449,371 = 1,317,449,371/x
  3. Step 3: Cross multiply
    614,792,230x = 1,317,449,371 × 1,317,449,371
  4. Step 4: Simplify right side
    614,792,230x = 1,735,672,845,148,295,680
  5. Step 5: Solve for x
    x = 1,735,672,845,148,295,680/614,792,230
  6. Step 6: Final answer
    x = 2,823,186,046.36

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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.