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Finding the Third Proportional to 13,463,961 and 29,210,610

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Solution

The third proportional to 13,463,961 and 29,210,610 is: 63,373,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463,961 : 29,210,610 = 29,210,610 : x
  2. Step 2: Convert to fraction form
    13,463,961/29,210,610 = 29,210,610/x
  3. Step 3: Cross multiply
    13,463,961x = 29,210,610 × 29,210,610
  4. Step 4: Simplify right side
    13,463,961x = 853,259,736,572,100
  5. Step 5: Solve for x
    x = 853,259,736,572,100/13,463,961
  6. Step 6: Final answer
    x = 63,373,604.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.