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Finding the Third Proportional to 24,269,823 and 52,141,653

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Solution

The third proportional to 24,269,823 and 52,141,653 is: 112,021,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269,823 : 52,141,653 = 52,141,653 : x
  2. Step 2: Convert to fraction form
    24,269,823/52,141,653 = 52,141,653/x
  3. Step 3: Cross multiply
    24,269,823x = 52,141,653 × 52,141,653
  4. Step 4: Simplify right side
    24,269,823x = 2,718,751,977,572,409
  5. Step 5: Solve for x
    x = 2,718,751,977,572,409/24,269,823
  6. Step 6: Final answer
    x = 112,021,912.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.