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Finding the Third Proportional to 6,420,705.50 and 13,372,851

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Solution

The third proportional to 6,420,705.50 and 13,372,851 is: 27,852,569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420,705.50 : 13,372,851 = 13,372,851 : x
  2. Step 2: Convert to fraction form
    6,420,705.50/13,372,851 = 13,372,851/x
  3. Step 3: Cross multiply
    6,420,705.50x = 13,372,851 × 13,372,851
  4. Step 4: Simplify right side
    6,420,705.50x = 178,833,143,868,201
  5. Step 5: Solve for x
    x = 178,833,143,868,201/6,420,705.50
  6. Step 6: Final answer
    x = 27,852,569.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.