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Finding the Third Proportional to 769,351,164.19 and 1,814,343,828.19

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Solution

The third proportional to 769,351,164.19 and 1,814,343,828.19 is: 4,278,726,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,351,164.19 : 1,814,343,828.19 = 1,814,343,828.19 : x
  2. Step 2: Convert to fraction form
    769,351,164.19/1,814,343,828.19 = 1,814,343,828.19/x
  3. Step 3: Cross multiply
    769,351,164.19x = 1,814,343,828.19 × 1,814,343,828.19
  4. Step 4: Simplify right side
    769,351,164.19x = 3,291,843,526,882,072,576
  5. Step 5: Solve for x
    x = 3,291,843,526,882,072,576/769,351,164.19
  6. Step 6: Final answer
    x = 4,278,726,906.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.