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Finding the Third Proportional to 10,233,524 and 22,389,785.50

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Solution

The third proportional to 10,233,524 and 22,389,785.50 is: 48,986,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233,524 : 22,389,785.50 = 22,389,785.50 : x
  2. Step 2: Convert to fraction form
    10,233,524/22,389,785.50 = 22,389,785.50/x
  3. Step 3: Cross multiply
    10,233,524x = 22,389,785.50 × 22,389,785.50
  4. Step 4: Simplify right side
    10,233,524x = 501,302,494,736,010.25
  5. Step 5: Solve for x
    x = 501,302,494,736,010.25/10,233,524
  6. Step 6: Final answer
    x = 48,986,301.76

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