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Finding the Third Proportional to 4,051,910 and 9,564,694

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Solution

The third proportional to 4,051,910 and 9,564,694 is: 22,577,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,910 : 9,564,694 = 9,564,694 : x
  2. Step 2: Convert to fraction form
    4,051,910/9,564,694 = 9,564,694/x
  3. Step 3: Cross multiply
    4,051,910x = 9,564,694 × 9,564,694
  4. Step 4: Simplify right side
    4,051,910x = 91,483,371,313,636
  5. Step 5: Solve for x
    x = 91,483,371,313,636/4,051,910
  6. Step 6: Final answer
    x = 22,577,838.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.