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Finding the Third Proportional to 2,285,047,639 and 3,157,416,736

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Solution

The third proportional to 2,285,047,639 and 3,157,416,736 is: 4,362,832,649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285,047,639 : 3,157,416,736 = 3,157,416,736 : x
  2. Step 2: Convert to fraction form
    2,285,047,639/3,157,416,736 = 3,157,416,736/x
  3. Step 3: Cross multiply
    2,285,047,639x = 3,157,416,736 × 3,157,416,736
  4. Step 4: Simplify right side
    2,285,047,639x = 9,969,280,444,772,892,672
  5. Step 5: Solve for x
    x = 9,969,280,444,772,892,672/2,285,047,639
  6. Step 6: Final answer
    x = 4,362,832,649.36

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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.