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Finding the Third Proportional to 1,180,906,669.13 and 2,537,062,751.25

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Solution

The third proportional to 1,180,906,669.13 and 2,537,062,751.25 is: 5,450,631,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,906,669.13 : 2,537,062,751.25 = 2,537,062,751.25 : x
  2. Step 2: Convert to fraction form
    1,180,906,669.13/2,537,062,751.25 = 2,537,062,751.25/x
  3. Step 3: Cross multiply
    1,180,906,669.13x = 2,537,062,751.25 × 2,537,062,751.25
  4. Step 4: Simplify right side
    1,180,906,669.13x = 6,436,687,403,780,218,880
  5. Step 5: Solve for x
    x = 6,436,687,403,780,218,880/1,180,906,669.13
  6. Step 6: Final answer
    x = 5,450,631,766.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.