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Finding the Third Proportional to 898,279,014.38 and 1,954,733,828.48

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Solution

The third proportional to 898,279,014.38 and 1,954,733,828.48 is: 4,253,672,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,279,014.38 : 1,954,733,828.48 = 1,954,733,828.48 : x
  2. Step 2: Convert to fraction form
    898,279,014.38/1,954,733,828.48 = 1,954,733,828.48/x
  3. Step 3: Cross multiply
    898,279,014.38x = 1,954,733,828.48 × 1,954,733,828.48
  4. Step 4: Simplify right side
    898,279,014.38x = 3,820,984,340,220,888,576
  5. Step 5: Solve for x
    x = 3,820,984,340,220,888,576/898,279,014.38
  6. Step 6: Final answer
    x = 4,253,672,054.09

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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.