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Finding the Third Proportional to 22,461,344.25 and 48,327,361.50

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Solution

The third proportional to 22,461,344.25 and 48,327,361.50 is: 103,980,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461,344.25 : 48,327,361.50 = 48,327,361.50 : x
  2. Step 2: Convert to fraction form
    22,461,344.25/48,327,361.50 = 48,327,361.50/x
  3. Step 3: Cross multiply
    22,461,344.25x = 48,327,361.50 × 48,327,361.50
  4. Step 4: Simplify right side
    22,461,344.25x = 2,335,533,869,551,682
  5. Step 5: Solve for x
    x = 2,335,533,869,551,682/22,461,344.25
  6. Step 6: Final answer
    x = 103,980,146.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.