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Finding the Third Proportional to 3,112,728 and 6,563,841

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Solution

The third proportional to 3,112,728 and 6,563,841 is: 13,841,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112,728 : 6,563,841 = 6,563,841 : x
  2. Step 2: Convert to fraction form
    3,112,728/6,563,841 = 6,563,841/x
  3. Step 3: Cross multiply
    3,112,728x = 6,563,841 × 6,563,841
  4. Step 4: Simplify right side
    3,112,728x = 43,084,008,673,281
  5. Step 5: Solve for x
    x = 43,084,008,673,281/3,112,728
  6. Step 6: Final answer
    x = 13,841,237.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.