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Finding the Third Proportional to 3,035,245.50 and 6,503,178

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Solution

The third proportional to 3,035,245.50 and 6,503,178 is: 13,933,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,245.50 : 6,503,178 = 6,503,178 : x
  2. Step 2: Convert to fraction form
    3,035,245.50/6,503,178 = 6,503,178/x
  3. Step 3: Cross multiply
    3,035,245.50x = 6,503,178 × 6,503,178
  4. Step 4: Simplify right side
    3,035,245.50x = 42,291,324,099,684
  5. Step 5: Solve for x
    x = 42,291,324,099,684/3,035,245.50
  6. Step 6: Final answer
    x = 13,933,411.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.