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Finding the Third Proportional to 6,563,659,932 and 14,122,820,094

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Solution

The third proportional to 6,563,659,932 and 14,122,820,094 is: 30,387,626,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563,659,932 : 14,122,820,094 = 14,122,820,094 : x
  2. Step 2: Convert to fraction form
    6,563,659,932/14,122,820,094 = 14,122,820,094/x
  3. Step 3: Cross multiply
    6,563,659,932x = 14,122,820,094 × 14,122,820,094
  4. Step 4: Simplify right side
    6,563,659,932x = 199,454,047,407,490,170,880
  5. Step 5: Solve for x
    x = 199,454,047,407,490,170,880/6,563,659,932
  6. Step 6: Final answer
    x = 30,387,626,640.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.