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Finding the Third Proportional to 54,131,093,889 and 112,716,947,829

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Solution

The third proportional to 54,131,093,889 and 112,716,947,829 is: 234,710,023,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,131,093,889 : 112,716,947,829 = 112,716,947,829 : x
  2. Step 2: Convert to fraction form
    54,131,093,889/112,716,947,829 = 112,716,947,829/x
  3. Step 3: Cross multiply
    54,131,093,889x = 112,716,947,829 × 112,716,947,829
  4. Step 4: Simplify right side
    54,131,093,889x = 12,705,110,327,885,507,330,048
  5. Step 5: Solve for x
    x = 12,705,110,327,885,507,330,048/54,131,093,889
  6. Step 6: Final answer
    x = 234,710,023,668.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.