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Finding the Third Proportional to 53,738,848,078 and 116,612,217,788

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Solution

The third proportional to 53,738,848,078 and 116,612,217,788 is: 253,046,163,507.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,738,848,078 : 116,612,217,788 = 116,612,217,788 : x
  2. Step 2: Convert to fraction form
    53,738,848,078/116,612,217,788 = 116,612,217,788/x
  3. Step 3: Cross multiply
    53,738,848,078x = 116,612,217,788 × 116,612,217,788
  4. Step 4: Simplify right side
    53,738,848,078x = 13,598,409,337,435,943,075,840
  5. Step 5: Solve for x
    x = 13,598,409,337,435,943,075,840/53,738,848,078
  6. Step 6: Final answer
    x = 253,046,163,507.23

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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.