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Finding the Third Proportional to 35,871,237,551 and 77,065,882,223

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Solution

The third proportional to 35,871,237,551 and 77,065,882,223 is: 165,568,589,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871,237,551 : 77,065,882,223 = 77,065,882,223 : x
  2. Step 2: Convert to fraction form
    35,871,237,551/77,065,882,223 = 77,065,882,223/x
  3. Step 3: Cross multiply
    35,871,237,551x = 77,065,882,223 × 77,065,882,223
  4. Step 4: Simplify right side
    35,871,237,551x = 5,939,150,202,809,307,103,232
  5. Step 5: Solve for x
    x = 5,939,150,202,809,307,103,232/35,871,237,551
  6. Step 6: Final answer
    x = 165,568,589,440.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.