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Finding the Third Proportional to 3,084,781.50 and 6,684,394.50

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Solution

The third proportional to 3,084,781.50 and 6,684,394.50 is: 14,484,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,781.50 : 6,684,394.50 = 6,684,394.50 : x
  2. Step 2: Convert to fraction form
    3,084,781.50/6,684,394.50 = 6,684,394.50/x
  3. Step 3: Cross multiply
    3,084,781.50x = 6,684,394.50 × 6,684,394.50
  4. Step 4: Simplify right side
    3,084,781.50x = 44,681,129,831,630.25
  5. Step 5: Solve for x
    x = 44,681,129,831,630.25/3,084,781.50
  6. Step 6: Final answer
    x = 14,484,374.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.