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Finding the Third Proportional to 1,574,310,474 and 3,644,625,244

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Solution

The third proportional to 1,574,310,474 and 3,644,625,244 is: 8,437,530,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574,310,474 : 3,644,625,244 = 3,644,625,244 : x
  2. Step 2: Convert to fraction form
    1,574,310,474/3,644,625,244 = 3,644,625,244/x
  3. Step 3: Cross multiply
    1,574,310,474x = 3,644,625,244 × 3,644,625,244
  4. Step 4: Simplify right side
    1,574,310,474x = 13,283,293,169,202,059,264
  5. Step 5: Solve for x
    x = 13,283,293,169,202,059,264/1,574,310,474
  6. Step 6: Final answer
    x = 8,437,530,835.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.