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Finding the Third Proportional to 54,909,493.50 and 72,873,033.75

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Solution

The third proportional to 54,909,493.50 and 72,873,033.75 is: 96,713,313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909,493.50 : 72,873,033.75 = 72,873,033.75 : x
  2. Step 2: Convert to fraction form
    54,909,493.50/72,873,033.75 = 72,873,033.75/x
  3. Step 3: Cross multiply
    54,909,493.50x = 72,873,033.75 × 72,873,033.75
  4. Step 4: Simplify right side
    54,909,493.50x = 5,310,479,047,928,639
  5. Step 5: Solve for x
    x = 5,310,479,047,928,639/54,909,493.50
  6. Step 6: Final answer
    x = 96,713,313.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.