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Finding the Third Proportional to 54,641,258 and 83,080,747

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Solution

The third proportional to 54,641,258 and 83,080,747 is: 126,322,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641,258 : 83,080,747 = 83,080,747 : x
  2. Step 2: Convert to fraction form
    54,641,258/83,080,747 = 83,080,747/x
  3. Step 3: Cross multiply
    54,641,258x = 83,080,747 × 83,080,747
  4. Step 4: Simplify right side
    54,641,258x = 6,902,410,522,078,009
  5. Step 5: Solve for x
    x = 6,902,410,522,078,009/54,641,258
  6. Step 6: Final answer
    x = 126,322,320.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.