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Finding the Third Proportional to 1,137,283,988 and 1,747,311,152

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Solution

The third proportional to 1,137,283,988 and 1,747,311,152 is: 2,684,550,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,283,988 : 1,747,311,152 = 1,747,311,152 : x
  2. Step 2: Convert to fraction form
    1,137,283,988/1,747,311,152 = 1,747,311,152/x
  3. Step 3: Cross multiply
    1,137,283,988x = 1,747,311,152 × 1,747,311,152
  4. Step 4: Simplify right side
    1,137,283,988x = 3,053,096,261,903,566,848
  5. Step 5: Solve for x
    x = 3,053,096,261,903,566,848/1,137,283,988
  6. Step 6: Final answer
    x = 2,684,550,467.71

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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.