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Finding the Third Proportional to 4,659,757,276 and 10,011,096,278

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Solution

The third proportional to 4,659,757,276 and 10,011,096,278 is: 21,507,997,681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659,757,276 : 10,011,096,278 = 10,011,096,278 : x
  2. Step 2: Convert to fraction form
    4,659,757,276/10,011,096,278 = 10,011,096,278/x
  3. Step 3: Cross multiply
    4,659,757,276x = 10,011,096,278 × 10,011,096,278
  4. Step 4: Simplify right side
    4,659,757,276x = 100,222,048,687,385,460,736
  5. Step 5: Solve for x
    x = 100,222,048,687,385,460,736/4,659,757,276
  6. Step 6: Final answer
    x = 21,507,997,681.25

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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.