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Finding the Third Proportional to 3,035,233.50 and 6,503,154

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Solution

The third proportional to 3,035,233.50 and 6,503,154 is: 13,933,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,035,233.50 : 6,503,154 = 6,503,154 : x
  2. Step 2: Convert to fraction form
    3,035,233.50/6,503,154 = 6,503,154/x
  3. Step 3: Cross multiply
    3,035,233.50x = 6,503,154 × 6,503,154
  4. Step 4: Simplify right side
    3,035,233.50x = 42,291,011,947,716
  5. Step 5: Solve for x
    x = 42,291,011,947,716/3,035,233.50
  6. Step 6: Final answer
    x = 13,933,363.59

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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.