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Finding the Third Proportional to 1,226,368,116 and 2,690,163,749

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Solution

The third proportional to 1,226,368,116 and 2,690,163,749 is: 5,901,149,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,368,116 : 2,690,163,749 = 2,690,163,749 : x
  2. Step 2: Convert to fraction form
    1,226,368,116/2,690,163,749 = 2,690,163,749/x
  3. Step 3: Cross multiply
    1,226,368,116x = 2,690,163,749 × 2,690,163,749
  4. Step 4: Simplify right side
    1,226,368,116x = 7,236,980,996,433,734,656
  5. Step 5: Solve for x
    x = 7,236,980,996,433,734,656/1,226,368,116
  6. Step 6: Final answer
    x = 5,901,149,012.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.