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Finding the Third Proportional to 10,983,620.25 and 23,620,182.19

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Solution

The third proportional to 10,983,620.25 and 23,620,182.19 is: 50,795,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983,620.25 : 23,620,182.19 = 23,620,182.19 : x
  2. Step 2: Convert to fraction form
    10,983,620.25/23,620,182.19 = 23,620,182.19/x
  3. Step 3: Cross multiply
    10,983,620.25x = 23,620,182.19 × 23,620,182.19
  4. Step 4: Simplify right side
    10,983,620.25x = 557,913,006,570,692.31
  5. Step 5: Solve for x
    x = 557,913,006,570,692.31/10,983,620.25
  6. Step 6: Final answer
    x = 50,795,001.45

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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.