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Finding the Third Proportional to 453,144,471.75 and 699,734,346.75

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Solution

The third proportional to 453,144,471.75 and 699,734,346.75 is: 1,080,512,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,144,471.75 : 699,734,346.75 = 699,734,346.75 : x
  2. Step 2: Convert to fraction form
    453,144,471.75/699,734,346.75 = 699,734,346.75/x
  3. Step 3: Cross multiply
    453,144,471.75x = 699,734,346.75 × 699,734,346.75
  4. Step 4: Simplify right side
    453,144,471.75x = 489,628,156,021,649,216
  5. Step 5: Solve for x
    x = 489,628,156,021,649,216/453,144,471.75
  6. Step 6: Final answer
    x = 1,080,512,257.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.