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Finding the Third Proportional to 638,431,025.77 and 898,659,794.74

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Solution

The third proportional to 638,431,025.77 and 898,659,794.74 is: 1,264,959,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,431,025.77 : 898,659,794.74 = 898,659,794.74 : x
  2. Step 2: Convert to fraction form
    638,431,025.77/898,659,794.74 = 898,659,794.74/x
  3. Step 3: Cross multiply
    638,431,025.77x = 898,659,794.74 × 898,659,794.74
  4. Step 4: Simplify right side
    638,431,025.77x = 807,589,426,686,111,104
  5. Step 5: Solve for x
    x = 807,589,426,686,111,104/638,431,025.77
  6. Step 6: Final answer
    x = 1,264,959,555.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.