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Finding the Third Proportional to 8,474,938,008 and 13,954,871,844

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Solution

The third proportional to 8,474,938,008 and 13,954,871,844 is: 22,978,156,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474,938,008 : 13,954,871,844 = 13,954,871,844 : x
  2. Step 2: Convert to fraction form
    8,474,938,008/13,954,871,844 = 13,954,871,844/x
  3. Step 3: Cross multiply
    8,474,938,008x = 13,954,871,844 × 13,954,871,844
  4. Step 4: Simplify right side
    8,474,938,008x = 194,738,448,182,463,954,944
  5. Step 5: Solve for x
    x = 194,738,448,182,463,954,944/8,474,938,008
  6. Step 6: Final answer
    x = 22,978,156,064.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.