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Finding the Third Proportional to 4,256,686,606,608 and 8,815,102,052,832

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Solution

The third proportional to 4,256,686,606,608 and 8,815,102,052,832 is: 18,255,049,380,711.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256,686,606,608 : 8,815,102,052,832 = 8,815,102,052,832 : x
  2. Step 2: Convert to fraction form
    4,256,686,606,608/8,815,102,052,832 = 8,815,102,052,832/x
  3. Step 3: Cross multiply
    4,256,686,606,608x = 8,815,102,052,832 × 8,815,102,052,832
  4. Step 4: Simplify right side
    4,256,686,606,608x = 77,706,024,201,842,945,523,974,144
  5. Step 5: Solve for x
    x = 77,706,024,201,842,945,523,974,144/4,256,686,606,608
  6. Step 6: Final answer
    x = 18,255,049,380,711.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.