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Finding the Third Proportional to 3,925,971,599,868.90 and 8,591,510,190,356.40

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Solution

The third proportional to 3,925,971,599,868.90 and 8,591,510,190,356.40 is: 18,801,472,571,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925,971,599,868.90 : 8,591,510,190,356.40 = 8,591,510,190,356.40 : x
  2. Step 2: Convert to fraction form
    3,925,971,599,868.90/8,591,510,190,356.40 = 8,591,510,190,356.40/x
  3. Step 3: Cross multiply
    3,925,971,599,868.90x = 8,591,510,190,356.40 × 8,591,510,190,356.40
  4. Step 4: Simplify right side
    3,925,971,599,868.90x = 73,814,047,350,997,867,795,841,024
  5. Step 5: Solve for x
    x = 73,814,047,350,997,867,795,841,024/3,925,971,599,868.90
  6. Step 6: Final answer
    x = 18,801,472,571,391.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.