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Finding the Third Proportional to 7,613,227,427 and 11,638,661,426

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Solution

The third proportional to 7,613,227,427 and 11,638,661,426 is: 17,792,511,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,613,227,427 : 11,638,661,426 = 11,638,661,426 : x
  2. Step 2: Convert to fraction form
    7,613,227,427/11,638,661,426 = 11,638,661,426/x
  3. Step 3: Cross multiply
    7,613,227,427x = 11,638,661,426 × 11,638,661,426
  4. Step 4: Simplify right side
    7,613,227,427x = 135,458,439,789,060,358,144
  5. Step 5: Solve for x
    x = 135,458,439,789,060,358,144/7,613,227,427
  6. Step 6: Final answer
    x = 17,792,511,925.84

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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.