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Finding the Third Proportional to 10,158,394 and 21,694,477

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Solution

The third proportional to 10,158,394 and 21,694,477 is: 46,331,175.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158,394 : 21,694,477 = 21,694,477 : x
  2. Step 2: Convert to fraction form
    10,158,394/21,694,477 = 21,694,477/x
  3. Step 3: Cross multiply
    10,158,394x = 21,694,477 × 21,694,477
  4. Step 4: Simplify right side
    10,158,394x = 470,650,332,303,529
  5. Step 5: Solve for x
    x = 470,650,332,303,529/10,158,394
  6. Step 6: Final answer
    x = 46,331,175.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.