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Finding the Third Proportional to 4,066,378 and 5,421,232.50

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Solution

The third proportional to 4,066,378 and 5,421,232.50 is: 7,227,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066,378 : 5,421,232.50 = 5,421,232.50 : x
  2. Step 2: Convert to fraction form
    4,066,378/5,421,232.50 = 5,421,232.50/x
  3. Step 3: Cross multiply
    4,066,378x = 5,421,232.50 × 5,421,232.50
  4. Step 4: Simplify right side
    4,066,378x = 29,389,761,819,056.25
  5. Step 5: Solve for x
    x = 29,389,761,819,056.25/4,066,378
  6. Step 6: Final answer
    x = 7,227,503.65

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.