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Finding the Third Proportional to 1,037,989,138 and 2,273,142,847

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Solution

The third proportional to 1,037,989,138 and 2,273,142,847 is: 4,978,065,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,989,138 : 2,273,142,847 = 2,273,142,847 : x
  2. Step 2: Convert to fraction form
    1,037,989,138/2,273,142,847 = 2,273,142,847/x
  3. Step 3: Cross multiply
    1,037,989,138x = 2,273,142,847 × 2,273,142,847
  4. Step 4: Simplify right side
    1,037,989,138x = 5,167,178,402,867,265,536
  5. Step 5: Solve for x
    x = 5,167,178,402,867,265,536/1,037,989,138
  6. Step 6: Final answer
    x = 4,978,065,967.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.