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Finding the Third Proportional to 54,508,416.75 and 83,783,340.56

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Solution

The third proportional to 54,508,416.75 and 83,783,340.56 is: 128,780,995.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,416.75 : 83,783,340.56 = 83,783,340.56 : x
  2. Step 2: Convert to fraction form
    54,508,416.75/83,783,340.56 = 83,783,340.56/x
  3. Step 3: Cross multiply
    54,508,416.75x = 83,783,340.56 × 83,783,340.56
  4. Step 4: Simplify right side
    54,508,416.75x = 7,019,648,155,811,858
  5. Step 5: Solve for x
    x = 7,019,648,155,811,858/54,508,416.75
  6. Step 6: Final answer
    x = 128,780,995.20

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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.