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Finding the Third Proportional to 2,285,047,640.25 and 3,157,416,737.25

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Solution

The third proportional to 2,285,047,640.25 and 3,157,416,737.25 is: 4,362,832,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,047,640.25 : 3,157,416,737.25 = 3,157,416,737.25 : x
  2. Step 2: Convert to fraction form
    2,285,047,640.25/3,157,416,737.25 = 3,157,416,737.25/x
  3. Step 3: Cross multiply
    2,285,047,640.25x = 3,157,416,737.25 × 3,157,416,737.25
  4. Step 4: Simplify right side
    2,285,047,640.25x = 9,969,280,452,666,435,584
  5. Step 5: Solve for x
    x = 9,969,280,452,666,435,584/2,285,047,640.25
  6. Step 6: Final answer
    x = 4,362,832,650.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.