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Finding the Third Proportional to 7,570,680,472 and 16,474,463,983

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Solution

The third proportional to 7,570,680,472 and 16,474,463,983 is: 35,849,876,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,680,472 : 16,474,463,983 = 16,474,463,983 : x
  2. Step 2: Convert to fraction form
    7,570,680,472/16,474,463,983 = 16,474,463,983/x
  3. Step 3: Cross multiply
    7,570,680,472x = 16,474,463,983 × 16,474,463,983
  4. Step 4: Simplify right side
    7,570,680,472x = 271,407,963,527,164,231,680
  5. Step 5: Solve for x
    x = 271,407,963,527,164,231,680/7,570,680,472
  6. Step 6: Final answer
    x = 35,849,876,973.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.