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Finding the Third Proportional to 15,310,012,824 and 24,016,870,843.31

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Solution

The third proportional to 15,310,012,824 and 24,016,870,843.31 is: 37,675,349,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310,012,824 : 24,016,870,843.31 = 24,016,870,843.31 : x
  2. Step 2: Convert to fraction form
    15,310,012,824/24,016,870,843.31 = 24,016,870,843.31/x
  3. Step 3: Cross multiply
    15,310,012,824x = 24,016,870,843.31 × 24,016,870,843.31
  4. Step 4: Simplify right side
    15,310,012,824x = 576,810,085,104,330,080,256
  5. Step 5: Solve for x
    x = 576,810,085,104,330,080,256/15,310,012,824
  6. Step 6: Final answer
    x = 37,675,349,572.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.