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Finding the Third Proportional to 1,137,283,986 and 1,747,311,150

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Solution

The third proportional to 1,137,283,986 and 1,747,311,150 is: 2,684,550,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,283,986 : 1,747,311,150 = 1,747,311,150 : x
  2. Step 2: Convert to fraction form
    1,137,283,986/1,747,311,150 = 1,747,311,150/x
  3. Step 3: Cross multiply
    1,137,283,986x = 1,747,311,150 × 1,747,311,150
  4. Step 4: Simplify right side
    1,137,283,986x = 3,053,096,254,914,322,432
  5. Step 5: Solve for x
    x = 3,053,096,254,914,322,432/1,137,283,986
  6. Step 6: Final answer
    x = 2,684,550,466.28

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.