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Finding the Third Proportional to 30,991,074 and 67,562,286

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Solution

The third proportional to 30,991,074 and 67,562,286 is: 147,289,586.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991,074 : 67,562,286 = 67,562,286 : x
  2. Step 2: Convert to fraction form
    30,991,074/67,562,286 = 67,562,286/x
  3. Step 3: Cross multiply
    30,991,074x = 67,562,286 × 67,562,286
  4. Step 4: Simplify right side
    30,991,074x = 4,564,662,489,545,796
  5. Step 5: Solve for x
    x = 4,564,662,489,545,796/30,991,074
  6. Step 6: Final answer
    x = 147,289,586.98

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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.