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Finding the Third Proportional to 7,613,227,431 and 11,638,661,432

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Solution

The third proportional to 7,613,227,431 and 11,638,661,432 is: 17,792,511,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613,227,431 : 11,638,661,432 = 11,638,661,432 : x
  2. Step 2: Convert to fraction form
    7,613,227,431/11,638,661,432 = 11,638,661,432/x
  3. Step 3: Cross multiply
    7,613,227,431x = 11,638,661,432 × 11,638,661,432
  4. Step 4: Simplify right side
    7,613,227,431x = 135,458,439,928,724,291,584
  5. Step 5: Solve for x
    x = 135,458,439,928,724,291,584/7,613,227,431
  6. Step 6: Final answer
    x = 17,792,511,934.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.