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Finding the Third Proportional to 6,161,403 and 13,739,496

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Solution

The third proportional to 6,161,403 and 13,739,496 is: 30,638,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161,403 : 13,739,496 = 13,739,496 : x
  2. Step 2: Convert to fraction form
    6,161,403/13,739,496 = 13,739,496/x
  3. Step 3: Cross multiply
    6,161,403x = 13,739,496 × 13,739,496
  4. Step 4: Simplify right side
    6,161,403x = 188,773,750,334,016
  5. Step 5: Solve for x
    x = 188,773,750,334,016/6,161,403
  6. Step 6: Final answer
    x = 30,638,111.21

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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.