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Finding the Third Proportional to 664,380,264 and 1,453,880,436

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Solution

The third proportional to 664,380,264 and 1,453,880,436 is: 3,181,563,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,380,264 : 1,453,880,436 = 1,453,880,436 : x
  2. Step 2: Convert to fraction form
    664,380,264/1,453,880,436 = 1,453,880,436/x
  3. Step 3: Cross multiply
    664,380,264x = 1,453,880,436 × 1,453,880,436
  4. Step 4: Simplify right side
    664,380,264x = 2,113,768,322,183,550,208
  5. Step 5: Solve for x
    x = 2,113,768,322,183,550,208/664,380,264
  6. Step 6: Final answer
    x = 3,181,563,987.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.