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Finding the Third Proportional to 13,643,160 and 29,350,848

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Solution

The third proportional to 13,643,160 and 29,350,848 is: 63,143,163.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,160 : 29,350,848 = 29,350,848 : x
  2. Step 2: Convert to fraction form
    13,643,160/29,350,848 = 29,350,848/x
  3. Step 3: Cross multiply
    13,643,160x = 29,350,848 × 29,350,848
  4. Step 4: Simplify right side
    13,643,160x = 861,472,278,319,104
  5. Step 5: Solve for x
    x = 861,472,278,319,104/13,643,160
  6. Step 6: Final answer
    x = 63,143,163.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.