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Finding the Third Proportional to 1,106,085,105 and 2,369,937,963

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Solution

The third proportional to 1,106,085,105 and 2,369,937,963 is: 5,077,914,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,085,105 : 2,369,937,963 = 2,369,937,963 : x
  2. Step 2: Convert to fraction form
    1,106,085,105/2,369,937,963 = 2,369,937,963/x
  3. Step 3: Cross multiply
    1,106,085,105x = 2,369,937,963 × 2,369,937,963
  4. Step 4: Simplify right side
    1,106,085,105x = 5,616,605,948,468,589,568
  5. Step 5: Solve for x
    x = 5,616,605,948,468,589,568/1,106,085,105
  6. Step 6: Final answer
    x = 5,077,914,821.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.