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Finding the Third Proportional to 53,091,740,771.25 and 113,756,341,379.25

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Solution

The third proportional to 53,091,740,771.25 and 113,756,341,379.25 is: 243,738,574,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,091,740,771.25 : 113,756,341,379.25 = 113,756,341,379.25 : x
  2. Step 2: Convert to fraction form
    53,091,740,771.25/113,756,341,379.25 = 113,756,341,379.25/x
  3. Step 3: Cross multiply
    53,091,740,771.25x = 113,756,341,379.25 × 113,756,341,379.25
  4. Step 4: Simplify right side
    53,091,740,771.25x = 12,940,505,203,992,466,292,736
  5. Step 5: Solve for x
    x = 12,940,505,203,992,466,292,736/53,091,740,771.25
  6. Step 6: Final answer
    x = 243,738,574,324.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.