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Finding the Third Proportional to 2,958,893.25 and 6,374,870.25

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Solution

The third proportional to 2,958,893.25 and 6,374,870.25 is: 13,734,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,958,893.25 : 6,374,870.25 = 6,374,870.25 : x
  2. Step 2: Convert to fraction form
    2,958,893.25/6,374,870.25 = 6,374,870.25/x
  3. Step 3: Cross multiply
    2,958,893.25x = 6,374,870.25 × 6,374,870.25
  4. Step 4: Simplify right side
    2,958,893.25x = 40,638,970,704,335.06
  5. Step 5: Solve for x
    x = 40,638,970,704,335.06/2,958,893.25
  6. Step 6: Final answer
    x = 13,734,517.36

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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.