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Finding the Third Proportional to 30,991,069.13 and 67,562,277.19

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Solution

The third proportional to 30,991,069.13 and 67,562,277.19 is: 147,289,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991,069.13 : 67,562,277.19 = 67,562,277.19 : x
  2. Step 2: Convert to fraction form
    30,991,069.13/67,562,277.19 = 67,562,277.19/x
  3. Step 3: Cross multiply
    30,991,069.13x = 67,562,277.19 × 67,562,277.19
  4. Step 4: Simplify right side
    30,991,069.13x = 4,564,661,298,760,583
  5. Step 5: Solve for x
    x = 4,564,661,298,760,583/30,991,069.13
  6. Step 6: Final answer
    x = 147,289,571.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.