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Finding the Third Proportional to 4,954,642.50 and 7,580,049

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Solution

The third proportional to 4,954,642.50 and 7,580,049 is: 11,596,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954,642.50 : 7,580,049 = 7,580,049 : x
  2. Step 2: Convert to fraction form
    4,954,642.50/7,580,049 = 7,580,049/x
  3. Step 3: Cross multiply
    4,954,642.50x = 7,580,049 × 7,580,049
  4. Step 4: Simplify right side
    4,954,642.50x = 57,457,142,842,401
  5. Step 5: Solve for x
    x = 57,457,142,842,401/4,954,642.50
  6. Step 6: Final answer
    x = 11,596,627.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.