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Finding the Third Proportional to 13,161,978 and 29,348,603

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Solution

The third proportional to 13,161,978 and 29,348,603 is: 65,441,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161,978 : 29,348,603 = 29,348,603 : x
  2. Step 2: Convert to fraction form
    13,161,978/29,348,603 = 29,348,603/x
  3. Step 3: Cross multiply
    13,161,978x = 29,348,603 × 29,348,603
  4. Step 4: Simplify right side
    13,161,978x = 861,340,498,051,609
  5. Step 5: Solve for x
    x = 861,340,498,051,609/13,161,978
  6. Step 6: Final answer
    x = 65,441,569.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.