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Finding the Third Proportional to 27,867,529,596,375 and 38,747,572,373,794

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Solution

The third proportional to 27,867,529,596,375 and 38,747,572,373,794 is: 53,875,402,183,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867,529,596,375 : 38,747,572,373,794 = 38,747,572,373,794 : x
  2. Step 2: Convert to fraction form
    27,867,529,596,375/38,747,572,373,794 = 38,747,572,373,794/x
  3. Step 3: Cross multiply
    27,867,529,596,375x = 38,747,572,373,794 × 38,747,572,373,794
  4. Step 4: Simplify right side
    27,867,529,596,375x = 1,501,374,364,862,404,083,117,457,408
  5. Step 5: Solve for x
    x = 1,501,374,364,862,404,083,117,457,408/27,867,529,596,375
  6. Step 6: Final answer
    x = 53,875,402,183,396.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.