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Finding the Third Proportional to 2,984,647.50 and 6,395,076.56

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Solution

The third proportional to 2,984,647.50 and 6,395,076.56 is: 13,702,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984,647.50 : 6,395,076.56 = 6,395,076.56 : x
  2. Step 2: Convert to fraction form
    2,984,647.50/6,395,076.56 = 6,395,076.56/x
  3. Step 3: Cross multiply
    2,984,647.50x = 6,395,076.56 × 6,395,076.56
  4. Step 4: Simplify right side
    2,984,647.50x = 40,897,004,240,236.81
  5. Step 5: Solve for x
    x = 40,897,004,240,236.81/2,984,647.50
  6. Step 6: Final answer
    x = 13,702,457.07

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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.