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Finding the Third Proportional to 29,654,825 and 64,410,238

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Solution

The third proportional to 29,654,825 and 64,410,238 is: 139,898,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654,825 : 64,410,238 = 64,410,238 : x
  2. Step 2: Convert to fraction form
    29,654,825/64,410,238 = 64,410,238/x
  3. Step 3: Cross multiply
    29,654,825x = 64,410,238 × 64,410,238
  4. Step 4: Simplify right side
    29,654,825x = 4,148,678,759,216,644
  5. Step 5: Solve for x
    x = 4,148,678,759,216,644/29,654,825
  6. Step 6: Final answer
    x = 139,898,945.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.