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Finding the Third Proportional to 4,659,757,272 and 10,011,096,270

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Solution

The third proportional to 4,659,757,272 and 10,011,096,270 is: 21,507,997,665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,757,272 : 10,011,096,270 = 10,011,096,270 : x
  2. Step 2: Convert to fraction form
    4,659,757,272/10,011,096,270 = 10,011,096,270/x
  3. Step 3: Cross multiply
    4,659,757,272x = 10,011,096,270 × 10,011,096,270
  4. Step 4: Simplify right side
    4,659,757,272x = 100,222,048,527,207,907,328
  5. Step 5: Solve for x
    x = 100,222,048,527,207,907,328/4,659,757,272
  6. Step 6: Final answer
    x = 21,507,997,665.34

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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.