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Finding the Third Proportional to 2,525,567,746,048 and 5,893,195,054,720

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Solution

The third proportional to 2,525,567,746,048 and 5,893,195,054,720 is: 13,751,263,654,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525,567,746,048 : 5,893,195,054,720 = 5,893,195,054,720 : x
  2. Step 2: Convert to fraction form
    2,525,567,746,048/5,893,195,054,720 = 5,893,195,054,720/x
  3. Step 3: Cross multiply
    2,525,567,746,048x = 5,893,195,054,720 × 5,893,195,054,720
  4. Step 4: Simplify right side
    2,525,567,746,048x = 34,729,747,952,976,265,216,000,000
  5. Step 5: Solve for x
    x = 34,729,747,952,976,265,216,000,000/2,525,567,746,048
  6. Step 6: Final answer
    x = 13,751,263,654,408.50

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.