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Finding the Third Proportional to 3,094,414,320 and 6,678,871,512

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Solution

The third proportional to 3,094,414,320 and 6,678,871,512 is: 14,415,433,765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094,414,320 : 6,678,871,512 = 6,678,871,512 : x
  2. Step 2: Convert to fraction form
    3,094,414,320/6,678,871,512 = 6,678,871,512/x
  3. Step 3: Cross multiply
    3,094,414,320x = 6,678,871,512 × 6,678,871,512
  4. Step 4: Simplify right side
    3,094,414,320x = 44,607,324,673,805,164,544
  5. Step 5: Solve for x
    x = 44,607,324,673,805,164,544/3,094,414,320
  6. Step 6: Final answer
    x = 14,415,433,765.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.