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Finding the Third Proportional to 5,354,356.50 and 8,157,003.75

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Solution

The third proportional to 5,354,356.50 and 8,157,003.75 is: 12,426,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354,356.50 : 8,157,003.75 = 8,157,003.75 : x
  2. Step 2: Convert to fraction form
    5,354,356.50/8,157,003.75 = 8,157,003.75/x
  3. Step 3: Cross multiply
    5,354,356.50x = 8,157,003.75 × 8,157,003.75
  4. Step 4: Simplify right side
    5,354,356.50x = 66,536,710,177,514.06
  5. Step 5: Solve for x
    x = 66,536,710,177,514.06/5,354,356.50
  6. Step 6: Final answer
    x = 12,426,649.25

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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.