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Finding the Third Proportional to 1,106,085,108 and 2,369,937,969

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Solution

The third proportional to 1,106,085,108 and 2,369,937,969 is: 5,077,914,833.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,085,108 : 2,369,937,969 = 2,369,937,969 : x
  2. Step 2: Convert to fraction form
    1,106,085,108/2,369,937,969 = 2,369,937,969/x
  3. Step 3: Cross multiply
    1,106,085,108x = 2,369,937,969 × 2,369,937,969
  4. Step 4: Simplify right side
    1,106,085,108x = 5,616,605,976,907,844,608
  5. Step 5: Solve for x
    x = 5,616,605,976,907,844,608/1,106,085,108
  6. Step 6: Final answer
    x = 5,077,914,833.39

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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.