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Finding the Third Proportional to 999,231,516 and 2,165,269,002

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Solution

The third proportional to 999,231,516 and 2,165,269,002 is: 4,691,995,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,231,516 : 2,165,269,002 = 2,165,269,002 : x
  2. Step 2: Convert to fraction form
    999,231,516/2,165,269,002 = 2,165,269,002/x
  3. Step 3: Cross multiply
    999,231,516x = 2,165,269,002 × 2,165,269,002
  4. Step 4: Simplify right side
    999,231,516x = 4,688,389,851,022,075,904
  5. Step 5: Solve for x
    x = 4,688,389,851,022,075,904/999,231,516
  6. Step 6: Final answer
    x = 4,691,995,574.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.