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Finding the Third Proportional to 53,738,848,082 and 116,612,217,796

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Solution

The third proportional to 53,738,848,082 and 116,612,217,796 is: 253,046,163,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738,848,082 : 116,612,217,796 = 116,612,217,796 : x
  2. Step 2: Convert to fraction form
    53,738,848,082/116,612,217,796 = 116,612,217,796/x
  3. Step 3: Cross multiply
    53,738,848,082x = 116,612,217,796 × 116,612,217,796
  4. Step 4: Simplify right side
    53,738,848,082x = 13,598,409,339,301,739,364,352
  5. Step 5: Solve for x
    x = 13,598,409,339,301,739,364,352/53,738,848,082
  6. Step 6: Final answer
    x = 253,046,163,523.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.