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Finding the Third Proportional to 2,708,414,890 and 3,814,044,991

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Solution

The third proportional to 2,708,414,890 and 3,814,044,991 is: 5,371,015,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,414,890 : 3,814,044,991 = 3,814,044,991 : x
  2. Step 2: Convert to fraction form
    2,708,414,890/3,814,044,991 = 3,814,044,991/x
  3. Step 3: Cross multiply
    2,708,414,890x = 3,814,044,991 × 3,814,044,991
  4. Step 4: Simplify right side
    2,708,414,890x = 14,546,939,193,372,190,720
  5. Step 5: Solve for x
    x = 14,546,939,193,372,190,720/2,708,414,890
  6. Step 6: Final answer
    x = 5,371,015,809.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.