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Finding the Third Proportional to 5,354,358.75 and 8,157,017.25

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Solution

The third proportional to 5,354,358.75 and 8,157,017.25 is: 12,426,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,358.75 : 8,157,017.25 = 8,157,017.25 : x
  2. Step 2: Convert to fraction form
    5,354,358.75/8,157,017.25 = 8,157,017.25/x
  3. Step 3: Cross multiply
    5,354,358.75x = 8,157,017.25 × 8,157,017.25
  4. Step 4: Simplify right side
    5,354,358.75x = 66,536,930,416,797.56
  5. Step 5: Solve for x
    x = 66,536,930,416,797.56/5,354,358.75
  6. Step 6: Final answer
    x = 12,426,685.16

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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.