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Finding the Third Proportional to 6,763,211,256 and 10,871,826,678

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Solution

The third proportional to 6,763,211,256 and 10,871,826,678 is: 17,476,404,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763,211,256 : 10,871,826,678 = 10,871,826,678 : x
  2. Step 2: Convert to fraction form
    6,763,211,256/10,871,826,678 = 10,871,826,678/x
  3. Step 3: Cross multiply
    6,763,211,256x = 10,871,826,678 × 10,871,826,678
  4. Step 4: Simplify right side
    6,763,211,256x = 118,196,615,316,472,512,512
  5. Step 5: Solve for x
    x = 118,196,615,316,472,512,512/6,763,211,256
  6. Step 6: Final answer
    x = 17,476,404,453.82

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.