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Finding the Third Proportional to 30,610,648 and 67,192,532

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Solution

The third proportional to 30,610,648 and 67,192,532 is: 147,492,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,610,648 : 67,192,532 = 67,192,532 : x
  2. Step 2: Convert to fraction form
    30,610,648/67,192,532 = 67,192,532/x
  3. Step 3: Cross multiply
    30,610,648x = 67,192,532 × 67,192,532
  4. Step 4: Simplify right side
    30,610,648x = 4,514,836,356,571,024
  5. Step 5: Solve for x
    x = 4,514,836,356,571,024/30,610,648
  6. Step 6: Final answer
    x = 147,492,348.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.