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Finding the Third Proportional to 680,979,995.44 and 1,466,401,816.13

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Solution

The third proportional to 680,979,995.44 and 1,466,401,816.13 is: 3,157,705,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,979,995.44 : 1,466,401,816.13 = 1,466,401,816.13 : x
  2. Step 2: Convert to fraction form
    680,979,995.44/1,466,401,816.13 = 1,466,401,816.13/x
  3. Step 3: Cross multiply
    680,979,995.44x = 1,466,401,816.13 × 1,466,401,816.13
  4. Step 4: Simplify right side
    680,979,995.44x = 2,150,334,286,334,698,240
  5. Step 5: Solve for x
    x = 2,150,334,286,334,698,240/680,979,995.44
  6. Step 6: Final answer
    x = 3,157,705,513.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.