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Finding the Third Proportional to 6,539,720.25 and 15,274,877.25

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Solution

The third proportional to 6,539,720.25 and 15,274,877.25 is: 35,677,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539,720.25 : 15,274,877.25 = 15,274,877.25 : x
  2. Step 2: Convert to fraction form
    6,539,720.25/15,274,877.25 = 15,274,877.25/x
  3. Step 3: Cross multiply
    6,539,720.25x = 15,274,877.25 × 15,274,877.25
  4. Step 4: Simplify right side
    6,539,720.25x = 233,321,875,002,567.56
  5. Step 5: Solve for x
    x = 233,321,875,002,567.56/6,539,720.25
  6. Step 6: Final answer
    x = 35,677,653.80

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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.