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Finding the Third Proportional to 12,774,626,263 and 27,957,462,647

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Solution

The third proportional to 12,774,626,263 and 27,957,462,647 is: 61,185,329,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,774,626,263 : 27,957,462,647 = 27,957,462,647 : x
  2. Step 2: Convert to fraction form
    12,774,626,263/27,957,462,647 = 27,957,462,647/x
  3. Step 3: Cross multiply
    12,774,626,263x = 27,957,462,647 × 27,957,462,647
  4. Step 4: Simplify right side
    12,774,626,263x = 781,619,717,658,400,260,096
  5. Step 5: Solve for x
    x = 781,619,717,658,400,260,096/12,774,626,263
  6. Step 6: Final answer
    x = 61,185,329,540.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.