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Finding the Third Proportional to 1,051,414,118 and 2,243,554,576

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Solution

The third proportional to 1,051,414,118 and 2,243,554,576 is: 4,787,397,324.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,414,118 : 2,243,554,576 = 2,243,554,576 : x
  2. Step 2: Convert to fraction form
    1,051,414,118/2,243,554,576 = 2,243,554,576/x
  3. Step 3: Cross multiply
    1,051,414,118x = 2,243,554,576 × 2,243,554,576
  4. Step 4: Simplify right side
    1,051,414,118x = 5,033,537,135,490,539,520
  5. Step 5: Solve for x
    x = 5,033,537,135,490,539,520/1,051,414,118
  6. Step 6: Final answer
    x = 4,787,397,324.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.