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Finding the Third Proportional to 1,189,448,064 and 2,551,080,960

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Solution

The third proportional to 1,189,448,064 and 2,551,080,960 is: 5,471,457,108.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,448,064 : 2,551,080,960 = 2,551,080,960 : x
  2. Step 2: Convert to fraction form
    1,189,448,064/2,551,080,960 = 2,551,080,960/x
  3. Step 3: Cross multiply
    1,189,448,064x = 2,551,080,960 × 2,551,080,960
  4. Step 4: Simplify right side
    1,189,448,064x = 6,508,014,064,474,521,600
  5. Step 5: Solve for x
    x = 6,508,014,064,474,521,600/1,189,448,064
  6. Step 6: Final answer
    x = 5,471,457,108.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.