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Finding the Third Proportional to 54,508,412.11 and 83,783,337.82

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Solution

The third proportional to 54,508,412.11 and 83,783,337.82 is: 128,780,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,412.11 : 83,783,337.82 = 83,783,337.82 : x
  2. Step 2: Convert to fraction form
    54,508,412.11/83,783,337.82 = 83,783,337.82/x
  3. Step 3: Cross multiply
    54,508,412.11x = 83,783,337.82 × 83,783,337.82
  4. Step 4: Simplify right side
    54,508,412.11x = 7,019,647,696,312,522
  5. Step 5: Solve for x
    x = 7,019,647,696,312,522/54,508,412.11
  6. Step 6: Final answer
    x = 128,780,997.73

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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.