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Finding the Third Proportional to 1,789,808,622 and 4,219,076,606

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Solution

The third proportional to 1,789,808,622 and 4,219,076,606 is: 9,945,536,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789,808,622 : 4,219,076,606 = 4,219,076,606 : x
  2. Step 2: Convert to fraction form
    1,789,808,622/4,219,076,606 = 4,219,076,606/x
  3. Step 3: Cross multiply
    1,789,808,622x = 4,219,076,606 × 4,219,076,606
  4. Step 4: Simplify right side
    1,789,808,622x = 17,800,607,407,296,479,232
  5. Step 5: Solve for x
    x = 17,800,607,407,296,479,232/1,789,808,622
  6. Step 6: Final answer
    x = 9,945,536,739.79

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Why These Related Problems?

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