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Finding the Third Proportional to 54,509,091.75 and 83,784,364.88

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Solution

The third proportional to 54,509,091.75 and 83,784,364.88 is: 128,782,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,509,091.75 : 83,784,364.88 = 83,784,364.88 : x
  2. Step 2: Convert to fraction form
    54,509,091.75/83,784,364.88 = 83,784,364.88/x
  3. Step 3: Cross multiply
    54,509,091.75x = 83,784,364.88 × 83,784,364.88
  4. Step 4: Simplify right side
    54,509,091.75x = 7,019,819,797,507,134
  5. Step 5: Solve for x
    x = 7,019,819,797,507,134/54,509,091.75
  6. Step 6: Final answer
    x = 128,782,549.34

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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.