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Finding the Third Proportional to 5,026,107.09 and 10,973,932.31

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Solution

The third proportional to 5,026,107.09 and 10,973,932.31 is: 23,960,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026,107.09 : 10,973,932.31 = 10,973,932.31 : x
  2. Step 2: Convert to fraction form
    5,026,107.09/10,973,932.31 = 10,973,932.31/x
  3. Step 3: Cross multiply
    5,026,107.09x = 10,973,932.31 × 10,973,932.31
  4. Step 4: Simplify right side
    5,026,107.09x = 120,427,190,399,331.59
  5. Step 5: Solve for x
    x = 120,427,190,399,331.59/5,026,107.09
  6. Step 6: Final answer
    x = 23,960,331.16

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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.