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Finding the Third Proportional to 30,846,754 and 67,003,546

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Solution

The third proportional to 30,846,754 and 67,003,546 is: 145,541,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,846,754 : 67,003,546 = 67,003,546 : x
  2. Step 2: Convert to fraction form
    30,846,754/67,003,546 = 67,003,546/x
  3. Step 3: Cross multiply
    30,846,754x = 67,003,546 × 67,003,546
  4. Step 4: Simplify right side
    30,846,754x = 4,489,475,176,574,116
  5. Step 5: Solve for x
    x = 4,489,475,176,574,116/30,846,754
  6. Step 6: Final answer
    x = 145,541,251.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.