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Finding the Third Proportional to 524,770,614 and 1,214,876,157.75

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Solution

The third proportional to 524,770,614 and 1,214,876,157.75 is: 2,812,512,818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,770,614 : 1,214,876,157.75 = 1,214,876,157.75 : x
  2. Step 2: Convert to fraction form
    524,770,614/1,214,876,157.75 = 1,214,876,157.75/x
  3. Step 3: Cross multiply
    524,770,614x = 1,214,876,157.75 × 1,214,876,157.75
  4. Step 4: Simplify right side
    524,770,614x = 1,475,924,078,669,402,880
  5. Step 5: Solve for x
    x = 1,475,924,078,669,402,880/524,770,614
  6. Step 6: Final answer
    x = 2,812,512,818.54

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.