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Finding the Third Proportional to 2,285,047,633.50 and 3,157,416,729

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Solution

The third proportional to 2,285,047,633.50 and 3,157,416,729 is: 4,362,832,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,047,633.50 : 3,157,416,729 = 3,157,416,729 : x
  2. Step 2: Convert to fraction form
    2,285,047,633.50/3,157,416,729 = 3,157,416,729/x
  3. Step 3: Cross multiply
    2,285,047,633.50x = 3,157,416,729 × 3,157,416,729
  4. Step 4: Simplify right side
    2,285,047,633.50x = 9,969,280,400,569,059,328
  5. Step 5: Solve for x
    x = 9,969,280,400,569,059,328/2,285,047,633.50
  6. Step 6: Final answer
    x = 4,362,832,640.52

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Why These Related Problems?

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