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Finding the Third Proportional to 30,410,494 and 66,174,764

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Solution

The third proportional to 30,410,494 and 66,174,764 is: 143,999,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410,494 : 66,174,764 = 66,174,764 : x
  2. Step 2: Convert to fraction form
    30,410,494/66,174,764 = 66,174,764/x
  3. Step 3: Cross multiply
    30,410,494x = 66,174,764 × 66,174,764
  4. Step 4: Simplify right side
    30,410,494x = 4,379,099,390,455,696
  5. Step 5: Solve for x
    x = 4,379,099,390,455,696/30,410,494
  6. Step 6: Final answer
    x = 143,999,613.77

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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.