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Finding the Third Proportional to 1,080,404,191 and 2,500,979,984

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Solution

The third proportional to 1,080,404,191 and 2,500,979,984 is: 5,789,408,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,404,191 : 2,500,979,984 = 2,500,979,984 : x
  2. Step 2: Convert to fraction form
    1,080,404,191/2,500,979,984 = 2,500,979,984/x
  3. Step 3: Cross multiply
    1,080,404,191x = 2,500,979,984 × 2,500,979,984
  4. Step 4: Simplify right side
    1,080,404,191x = 6,254,900,880,368,640,000
  5. Step 5: Solve for x
    x = 6,254,900,880,368,640,000/1,080,404,191
  6. Step 6: Final answer
    x = 5,789,408,197.85

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.