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Finding the Third Proportional to 10,227,243 and 22,724,649

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Solution

The third proportional to 10,227,243 and 22,724,649 is: 50,493,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227,243 : 22,724,649 = 22,724,649 : x
  2. Step 2: Convert to fraction form
    10,227,243/22,724,649 = 22,724,649/x
  3. Step 3: Cross multiply
    10,227,243x = 22,724,649 × 22,724,649
  4. Step 4: Simplify right side
    10,227,243x = 516,409,672,173,201
  5. Step 5: Solve for x
    x = 516,409,672,173,201/10,227,243
  6. Step 6: Final answer
    x = 50,493,536.94

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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.