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Finding the Third Proportional to 664,380,266 and 1,453,880,440

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Solution

The third proportional to 664,380,266 and 1,453,880,440 is: 3,181,563,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,380,266 : 1,453,880,440 = 1,453,880,440 : x
  2. Step 2: Convert to fraction form
    664,380,266/1,453,880,440 = 1,453,880,440/x
  3. Step 3: Cross multiply
    664,380,266x = 1,453,880,440 × 1,453,880,440
  4. Step 4: Simplify right side
    664,380,266x = 2,113,768,333,814,593,536
  5. Step 5: Solve for x
    x = 2,113,768,333,814,593,536/664,380,266
  6. Step 6: Final answer
    x = 3,181,563,995.78

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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.