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Finding the Third Proportional to 3,477,900 and 7,418,013

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Solution

The third proportional to 3,477,900 and 7,418,013 is: 15,821,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,900 : 7,418,013 = 7,418,013 : x
  2. Step 2: Convert to fraction form
    3,477,900/7,418,013 = 7,418,013/x
  3. Step 3: Cross multiply
    3,477,900x = 7,418,013 × 7,418,013
  4. Step 4: Simplify right side
    3,477,900x = 55,026,916,868,169
  5. Step 5: Solve for x
    x = 55,026,916,868,169/3,477,900
  6. Step 6: Final answer
    x = 15,821,880.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.