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Finding the Third Proportional to 1,149,964,553 and 2,501,414,794

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Solution

The third proportional to 1,149,964,553 and 2,501,414,794 is: 5,441,103,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,964,553 : 2,501,414,794 = 2,501,414,794 : x
  2. Step 2: Convert to fraction form
    1,149,964,553/2,501,414,794 = 2,501,414,794/x
  3. Step 3: Cross multiply
    1,149,964,553x = 2,501,414,794 × 2,501,414,794
  4. Step 4: Simplify right side
    1,149,964,553x = 6,257,075,971,642,062,848
  5. Step 5: Solve for x
    x = 6,257,075,971,642,062,848/1,149,964,553
  6. Step 6: Final answer
    x = 5,441,103,341.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.