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Finding the Third Proportional to 54,508,779.77 and 83,783,769.71

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Solution

The third proportional to 54,508,779.77 and 83,783,769.71 is: 128,781,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,779.77 : 83,783,769.71 = 83,783,769.71 : x
  2. Step 2: Convert to fraction form
    54,508,779.77/83,783,769.71 = 83,783,769.71/x
  3. Step 3: Cross multiply
    54,508,779.77x = 83,783,769.71 × 83,783,769.71
  4. Step 4: Simplify right side
    54,508,779.77x = 7,019,720,067,629,340
  5. Step 5: Solve for x
    x = 7,019,720,067,629,340/54,508,779.77
  6. Step 6: Final answer
    x = 128,781,456.80

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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.