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Finding the Third Proportional to 1,106,085,102 and 2,369,937,957

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Solution

The third proportional to 1,106,085,102 and 2,369,937,957 is: 5,077,914,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,085,102 : 2,369,937,957 = 2,369,937,957 : x
  2. Step 2: Convert to fraction form
    1,106,085,102/2,369,937,957 = 2,369,937,957/x
  3. Step 3: Cross multiply
    1,106,085,102x = 2,369,937,957 × 2,369,937,957
  4. Step 4: Simplify right side
    1,106,085,102x = 5,616,605,920,029,333,504
  5. Step 5: Solve for x
    x = 5,616,605,920,029,333,504/1,106,085,102
  6. Step 6: Final answer
    x = 5,077,914,809.51

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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.