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Finding the Third Proportional to 24,023,505 and 51,826,146

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Solution

The third proportional to 24,023,505 and 51,826,146 is: 111,805,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,023,505 : 51,826,146 = 51,826,146 : x
  2. Step 2: Convert to fraction form
    24,023,505/51,826,146 = 51,826,146/x
  3. Step 3: Cross multiply
    24,023,505x = 51,826,146 × 51,826,146
  4. Step 4: Simplify right side
    24,023,505x = 2,685,949,409,213,316
  5. Step 5: Solve for x
    x = 2,685,949,409,213,316/24,023,505
  6. Step 6: Final answer
    x = 111,805,059.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.