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Finding the Third Proportional to 30,991,070.25 and 67,562,277

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Solution

The third proportional to 30,991,070.25 and 67,562,277 is: 147,289,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991,070.25 : 67,562,277 = 67,562,277 : x
  2. Step 2: Convert to fraction form
    30,991,070.25/67,562,277 = 67,562,277/x
  3. Step 3: Cross multiply
    30,991,070.25x = 67,562,277 × 67,562,277
  4. Step 4: Simplify right side
    30,991,070.25x = 4,564,661,273,424,729
  5. Step 5: Solve for x
    x = 4,564,661,273,424,729/30,991,070.25
  6. Step 6: Final answer
    x = 147,289,565.56

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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.