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Finding the Third Proportional to 5,086,813.50 and 7,630,301.25

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Solution

The third proportional to 5,086,813.50 and 7,630,301.25 is: 11,445,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086,813.50 : 7,630,301.25 = 7,630,301.25 : x
  2. Step 2: Convert to fraction form
    5,086,813.50/7,630,301.25 = 7,630,301.25/x
  3. Step 3: Cross multiply
    5,086,813.50x = 7,630,301.25 × 7,630,301.25
  4. Step 4: Simplify right side
    5,086,813.50x = 58,221,497,165,751.56
  5. Step 5: Solve for x
    x = 58,221,497,165,751.56/5,086,813.50
  6. Step 6: Final answer
    x = 11,445,573.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.