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Finding the Third Proportional to 1,477,135,896 and 3,190,120,012

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Solution

The third proportional to 1,477,135,896 and 3,190,120,012 is: 6,889,593,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,135,896 : 3,190,120,012 = 3,190,120,012 : x
  2. Step 2: Convert to fraction form
    1,477,135,896/3,190,120,012 = 3,190,120,012/x
  3. Step 3: Cross multiply
    1,477,135,896x = 3,190,120,012 × 3,190,120,012
  4. Step 4: Simplify right side
    1,477,135,896x = 10,176,865,690,962,880,512
  5. Step 5: Solve for x
    x = 10,176,865,690,962,880,512/1,477,135,896
  6. Step 6: Final answer
    x = 6,889,593,380.35

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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.