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Finding the Third Proportional to 310,306,644 and 675,093,870

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Solution

The third proportional to 310,306,644 and 675,093,870 is: 1,468,714,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,306,644 : 675,093,870 = 675,093,870 : x
  2. Step 2: Convert to fraction form
    310,306,644/675,093,870 = 675,093,870/x
  3. Step 3: Cross multiply
    310,306,644x = 675,093,870 × 675,093,870
  4. Step 4: Simplify right side
    310,306,644x = 455,751,733,311,576,896
  5. Step 5: Solve for x
    x = 455,751,733,311,576,896/310,306,644
  6. Step 6: Final answer
    x = 1,468,714,067.60

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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.