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Finding the Third Proportional to 30,410,524 and 66,174,820

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Solution

The third proportional to 30,410,524 and 66,174,820 is: 143,999,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410,524 : 66,174,820 = 66,174,820 : x
  2. Step 2: Convert to fraction form
    30,410,524/66,174,820 = 66,174,820/x
  3. Step 3: Cross multiply
    30,410,524x = 66,174,820 × 66,174,820
  4. Step 4: Simplify right side
    30,410,524x = 4,379,106,802,032,400
  5. Step 5: Solve for x
    x = 4,379,106,802,032,400/30,410,524
  6. Step 6: Final answer
    x = 143,999,715.43

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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.