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Finding the Third Proportional to 10,093,936.50 and 22,205,593.13

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Solution

The third proportional to 10,093,936.50 and 22,205,593.13 is: 48,849,957.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,936.50 : 22,205,593.13 = 22,205,593.13 : x
  2. Step 2: Convert to fraction form
    10,093,936.50/22,205,593.13 = 22,205,593.13/x
  3. Step 3: Cross multiply
    10,093,936.50x = 22,205,593.13 × 22,205,593.13
  4. Step 4: Simplify right side
    10,093,936.50x = 493,088,366,033,047.25
  5. Step 5: Solve for x
    x = 493,088,366,033,047.25/10,093,936.50
  6. Step 6: Final answer
    x = 48,849,957.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.