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Finding the Third Proportional to 27,007,310,570,700 and 36,439,202,644,256

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Solution

The third proportional to 27,007,310,570,700 and 36,439,202,644,256 is: 49,165,039,438,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,007,310,570,700 : 36,439,202,644,256 = 36,439,202,644,256 : x
  2. Step 2: Convert to fraction form
    27,007,310,570,700/36,439,202,644,256 = 36,439,202,644,256/x
  3. Step 3: Cross multiply
    27,007,310,570,700x = 36,439,202,644,256 × 36,439,202,644,256
  4. Step 4: Simplify right side
    27,007,310,570,700x = 1,327,815,489,349,153,353,166,225,408
  5. Step 5: Solve for x
    x = 1,327,815,489,349,153,353,166,225,408/27,007,310,570,700
  6. Step 6: Final answer
    x = 49,165,039,438,976.53

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.