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Finding the Third Proportional to 4,924,334.25 and 7,866,744.75

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Solution

The third proportional to 4,924,334.25 and 7,866,744.75 is: 12,567,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924,334.25 : 7,866,744.75 = 7,866,744.75 : x
  2. Step 2: Convert to fraction form
    4,924,334.25/7,866,744.75 = 7,866,744.75/x
  3. Step 3: Cross multiply
    4,924,334.25x = 7,866,744.75 × 7,866,744.75
  4. Step 4: Simplify right side
    4,924,334.25x = 61,885,672,961,652.56
  5. Step 5: Solve for x
    x = 61,885,672,961,652.56/4,924,334.25
  6. Step 6: Final answer
    x = 12,567,317.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.