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Finding the Third Proportional to 291,314,353.50 and 624,180,689.44

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Solution

The third proportional to 291,314,353.50 and 624,180,689.44 is: 1,337,392,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,353.50 : 624,180,689.44 = 624,180,689.44 : x
  2. Step 2: Convert to fraction form
    291,314,353.50/624,180,689.44 = 624,180,689.44/x
  3. Step 3: Cross multiply
    291,314,353.50x = 624,180,689.44 × 624,180,689.44
  4. Step 4: Simplify right side
    291,314,353.50x = 389,601,533,066,672,832
  5. Step 5: Solve for x
    x = 389,601,533,066,672,832/291,314,353.50
  6. Step 6: Final answer
    x = 1,337,392,162.06

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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.