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Finding the Third Proportional to 14,530,235,258.25 and 22,743,786,719.25

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Solution

The third proportional to 14,530,235,258.25 and 22,743,786,719.25 is: 35,600,238,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530,235,258.25 : 22,743,786,719.25 = 22,743,786,719.25 : x
  2. Step 2: Convert to fraction form
    14,530,235,258.25/22,743,786,719.25 = 22,743,786,719.25/x
  3. Step 3: Cross multiply
    14,530,235,258.25x = 22,743,786,719.25 × 22,743,786,719.25
  4. Step 4: Simplify right side
    14,530,235,258.25x = 517,279,834,330,732,691,456
  5. Step 5: Solve for x
    x = 517,279,834,330,732,691,456/14,530,235,258.25
  6. Step 6: Final answer
    x = 35,600,238,064.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.