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Finding the Third Proportional to 6,539,724 and 15,274,883.25

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Solution

The third proportional to 6,539,724 and 15,274,883.25 is: 35,677,661.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,724 : 15,274,883.25 = 15,274,883.25 : x
  2. Step 2: Convert to fraction form
    6,539,724/15,274,883.25 = 15,274,883.25/x
  3. Step 3: Cross multiply
    6,539,724x = 15,274,883.25 × 15,274,883.25
  4. Step 4: Simplify right side
    6,539,724x = 233,322,058,301,130.56
  5. Step 5: Solve for x
    x = 233,322,058,301,130.56/6,539,724
  6. Step 6: Final answer
    x = 35,677,661.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.