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Finding the Third Proportional to 10,233,436.50 and 22,389,669

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Solution

The third proportional to 10,233,436.50 and 22,389,669 is: 48,986,210.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,436.50 : 22,389,669 = 22,389,669 : x
  2. Step 2: Convert to fraction form
    10,233,436.50/22,389,669 = 22,389,669/x
  3. Step 3: Cross multiply
    10,233,436.50x = 22,389,669 × 22,389,669
  4. Step 4: Simplify right side
    10,233,436.50x = 501,297,277,929,561
  5. Step 5: Solve for x
    x = 501,297,277,929,561/10,233,436.50
  6. Step 6: Final answer
    x = 48,986,210.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.