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Finding the Third Proportional to 24,003,985.50 and 51,846,024.38

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Solution

The third proportional to 24,003,985.50 and 51,846,024.38 is: 111,981,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003,985.50 : 51,846,024.38 = 51,846,024.38 : x
  2. Step 2: Convert to fraction form
    24,003,985.50/51,846,024.38 = 51,846,024.38/x
  3. Step 3: Cross multiply
    24,003,985.50x = 51,846,024.38 × 51,846,024.38
  4. Step 4: Simplify right side
    24,003,985.50x = 2,688,010,243,493,094
  5. Step 5: Solve for x
    x = 2,688,010,243,493,094/24,003,985.50
  6. Step 6: Final answer
    x = 111,981,830.83

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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.