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Finding the Third Proportional to 5,354,706 and 8,157,551

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Solution

The third proportional to 5,354,706 and 8,157,551 is: 12,427,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,706 : 8,157,551 = 8,157,551 : x
  2. Step 2: Convert to fraction form
    5,354,706/8,157,551 = 8,157,551/x
  3. Step 3: Cross multiply
    5,354,706x = 8,157,551 × 8,157,551
  4. Step 4: Simplify right side
    5,354,706x = 66,545,638,317,601
  5. Step 5: Solve for x
    x = 66,545,638,317,601/5,354,706
  6. Step 6: Final answer
    x = 12,427,505.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.