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Finding the Third Proportional to 10,225,936 and 22,721,884.50

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Solution

The third proportional to 10,225,936 and 22,721,884.50 is: 50,487,704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225,936 : 22,721,884.50 = 22,721,884.50 : x
  2. Step 2: Convert to fraction form
    10,225,936/22,721,884.50 = 22,721,884.50/x
  3. Step 3: Cross multiply
    10,225,936x = 22,721,884.50 × 22,721,884.50
  4. Step 4: Simplify right side
    10,225,936x = 516,284,035,231,340.25
  5. Step 5: Solve for x
    x = 516,284,035,231,340.25/10,225,936
  6. Step 6: Final answer
    x = 50,487,704.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.