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Finding the Third Proportional to 1,083,073,554 and 1,650,005,019

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Solution

The third proportional to 1,083,073,554 and 1,650,005,019 is: 2,513,694,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,073,554 : 1,650,005,019 = 1,650,005,019 : x
  2. Step 2: Convert to fraction form
    1,083,073,554/1,650,005,019 = 1,650,005,019/x
  3. Step 3: Cross multiply
    1,083,073,554x = 1,650,005,019 × 1,650,005,019
  4. Step 4: Simplify right side
    1,083,073,554x = 2,722,516,562,725,190,144
  5. Step 5: Solve for x
    x = 2,722,516,562,725,190,144/1,083,073,554
  6. Step 6: Final answer
    x = 2,513,694,986.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.