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Finding the Third Proportional to 1,389,157,373,772 and 3,009,096,190,404

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Solution

The third proportional to 1,389,157,373,772 and 3,009,096,190,404 is: 6,518,095,108,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389,157,373,772 : 3,009,096,190,404 = 3,009,096,190,404 : x
  2. Step 2: Convert to fraction form
    1,389,157,373,772/3,009,096,190,404 = 3,009,096,190,404/x
  3. Step 3: Cross multiply
    1,389,157,373,772x = 3,009,096,190,404 × 3,009,096,190,404
  4. Step 4: Simplify right side
    1,389,157,373,772x = 9,054,659,883,103,865,767,198,720
  5. Step 5: Solve for x
    x = 9,054,659,883,103,865,767,198,720/1,389,157,373,772
  6. Step 6: Final answer
    x = 6,518,095,108,632.37

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.