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Finding the Third Proportional to 12,563,633,710 and 27,221,093,084

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Solution

The third proportional to 12,563,633,710 and 27,221,093,084 is: 58,978,789,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563,633,710 : 27,221,093,084 = 27,221,093,084 : x
  2. Step 2: Convert to fraction form
    12,563,633,710/27,221,093,084 = 27,221,093,084/x
  3. Step 3: Cross multiply
    12,563,633,710x = 27,221,093,084 × 27,221,093,084
  4. Step 4: Simplify right side
    12,563,633,710x = 740,987,908,687,792,570,368
  5. Step 5: Solve for x
    x = 740,987,908,687,792,570,368/12,563,633,710
  6. Step 6: Final answer
    x = 58,978,789,559.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.