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Finding the Third Proportional to 3,894,951 and 8,411,982

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Solution

The third proportional to 3,894,951 and 8,411,982 is: 18,167,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,951 : 8,411,982 = 8,411,982 : x
  2. Step 2: Convert to fraction form
    3,894,951/8,411,982 = 8,411,982/x
  3. Step 3: Cross multiply
    3,894,951x = 8,411,982 × 8,411,982
  4. Step 4: Simplify right side
    3,894,951x = 70,761,441,168,324
  5. Step 5: Solve for x
    x = 70,761,441,168,324/3,894,951
  6. Step 6: Final answer
    x = 18,167,479.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.