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Finding the Third Proportional to 11,369,953.13 and 17,494,077.94

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Solution

The third proportional to 11,369,953.13 and 17,494,077.94 is: 26,916,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369,953.13 : 17,494,077.94 = 17,494,077.94 : x
  2. Step 2: Convert to fraction form
    11,369,953.13/17,494,077.94 = 17,494,077.94/x
  3. Step 3: Cross multiply
    11,369,953.13x = 17,494,077.94 × 17,494,077.94
  4. Step 4: Simplify right side
    11,369,953.13x = 306,042,762,883,324.25
  5. Step 5: Solve for x
    x = 306,042,762,883,324.25/11,369,953.13
  6. Step 6: Final answer
    x = 26,916,800.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.