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Finding the Third Proportional to 30,417,744 and 67,636,224

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Solution

The third proportional to 30,417,744 and 67,636,224 is: 150,394,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417,744 : 67,636,224 = 67,636,224 : x
  2. Step 2: Convert to fraction form
    30,417,744/67,636,224 = 67,636,224/x
  3. Step 3: Cross multiply
    30,417,744x = 67,636,224 × 67,636,224
  4. Step 4: Simplify right side
    30,417,744x = 4,574,658,796,978,176
  5. Step 5: Solve for x
    x = 4,574,658,796,978,176/30,417,744
  6. Step 6: Final answer
    x = 150,394,414.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.