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Finding the Third Proportional to 30,728,240.16 and 67,086,125.86

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Solution

The third proportional to 30,728,240.16 and 67,086,125.86 is: 146,462,936.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728,240.16 : 67,086,125.86 = 67,086,125.86 : x
  2. Step 2: Convert to fraction form
    30,728,240.16/67,086,125.86 = 67,086,125.86/x
  3. Step 3: Cross multiply
    30,728,240.16x = 67,086,125.86 × 67,086,125.86
  4. Step 4: Simplify right side
    30,728,240.16x = 4,500,548,282,819,903
  5. Step 5: Solve for x
    x = 4,500,548,282,819,903/30,728,240.16
  6. Step 6: Final answer
    x = 146,462,936.37

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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.