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Finding the Third Proportional to 907,190,928 and 1,979,282,182.50

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Solution

The third proportional to 907,190,928 and 1,979,282,182.50 is: 4,318,338,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,190,928 : 1,979,282,182.50 = 1,979,282,182.50 : x
  2. Step 2: Convert to fraction form
    907,190,928/1,979,282,182.50 = 1,979,282,182.50/x
  3. Step 3: Cross multiply
    907,190,928x = 1,979,282,182.50 × 1,979,282,182.50
  4. Step 4: Simplify right side
    907,190,928x = 3,917,557,957,961,963,520
  5. Step 5: Solve for x
    x = 3,917,557,957,961,963,520/907,190,928
  6. Step 6: Final answer
    x = 4,318,338,992.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.