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Finding the Third Proportional to 5,707,587,252 and 12,537,577,896

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Solution

The third proportional to 5,707,587,252 and 12,537,577,896 is: 27,540,684,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707,587,252 : 12,537,577,896 = 12,537,577,896 : x
  2. Step 2: Convert to fraction form
    5,707,587,252/12,537,577,896 = 12,537,577,896/x
  3. Step 3: Cross multiply
    5,707,587,252x = 12,537,577,896 × 12,537,577,896
  4. Step 4: Simplify right side
    5,707,587,252x = 157,190,859,498,267,770,880
  5. Step 5: Solve for x
    x = 157,190,859,498,267,770,880/5,707,587,252
  6. Step 6: Final answer
    x = 27,540,684,453.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.