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Finding the Third Proportional to 3,296,881.75 and 6,948,003.50

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Solution

The third proportional to 3,296,881.75 and 6,948,003.50 is: 14,642,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296,881.75 : 6,948,003.50 = 6,948,003.50 : x
  2. Step 2: Convert to fraction form
    3,296,881.75/6,948,003.50 = 6,948,003.50/x
  3. Step 3: Cross multiply
    3,296,881.75x = 6,948,003.50 × 6,948,003.50
  4. Step 4: Simplify right side
    3,296,881.75x = 48,274,752,636,012.25
  5. Step 5: Solve for x
    x = 48,274,752,636,012.25/3,296,881.75
  6. Step 6: Final answer
    x = 14,642,549.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.