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Finding the Third Proportional to 1,078,206,282 and 1,540,781,912.25

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Solution

The third proportional to 1,078,206,282 and 1,540,781,912.25 is: 2,201,813,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078,206,282 : 1,540,781,912.25 = 1,540,781,912.25 : x
  2. Step 2: Convert to fraction form
    1,078,206,282/1,540,781,912.25 = 1,540,781,912.25/x
  3. Step 3: Cross multiply
    1,078,206,282x = 1,540,781,912.25 × 1,540,781,912.25
  4. Step 4: Simplify right side
    1,078,206,282x = 2,374,008,901,116,766,720
  5. Step 5: Solve for x
    x = 2,374,008,901,116,766,720/1,078,206,282
  6. Step 6: Final answer
    x = 2,201,813,271.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.