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Finding the Third Proportional to 4,674,229 and 7,180,185.50

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Solution

The third proportional to 4,674,229 and 7,180,185.50 is: 11,029,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,229 : 7,180,185.50 = 7,180,185.50 : x
  2. Step 2: Convert to fraction form
    4,674,229/7,180,185.50 = 7,180,185.50/x
  3. Step 3: Cross multiply
    4,674,229x = 7,180,185.50 × 7,180,185.50
  4. Step 4: Simplify right side
    4,674,229x = 51,555,063,814,410.25
  5. Step 5: Solve for x
    x = 51,555,063,814,410.25/4,674,229
  6. Step 6: Final answer
    x = 11,029,640.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.