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Finding the Third Proportional to 1,109,749,065 and 2,414,859,288

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Solution

The third proportional to 1,109,749,065 and 2,414,859,288 is: 5,254,832,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,749,065 : 2,414,859,288 = 2,414,859,288 : x
  2. Step 2: Convert to fraction form
    1,109,749,065/2,414,859,288 = 2,414,859,288/x
  3. Step 3: Cross multiply
    1,109,749,065x = 2,414,859,288 × 2,414,859,288
  4. Step 4: Simplify right side
    1,109,749,065x = 5,831,545,380,839,867,392
  5. Step 5: Solve for x
    x = 5,831,545,380,839,867,392/1,109,749,065
  6. Step 6: Final answer
    x = 5,254,832,434.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.