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Finding the Third Proportional to 19,145,565,183 and 29,409,932,254.50

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Solution

The third proportional to 19,145,565,183 and 29,409,932,254.50 is: 45,177,256,818.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,145,565,183 : 29,409,932,254.50 = 29,409,932,254.50 : x
  2. Step 2: Convert to fraction form
    19,145,565,183/29,409,932,254.50 = 29,409,932,254.50/x
  3. Step 3: Cross multiply
    19,145,565,183x = 29,409,932,254.50 × 29,409,932,254.50
  4. Step 4: Simplify right side
    19,145,565,183x = 864,944,115,214,279,507,968
  5. Step 5: Solve for x
    x = 864,944,115,214,279,507,968/19,145,565,183
  6. Step 6: Final answer
    x = 45,177,256,818.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.