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Finding the Third Proportional to 64,602,615 and 96,951,171

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Solution

The third proportional to 64,602,615 and 96,951,171 is: 145,497,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,602,615 : 96,951,171 = 96,951,171 : x
  2. Step 2: Convert to fraction form
    64,602,615/96,951,171 = 96,951,171/x
  3. Step 3: Cross multiply
    64,602,615x = 96,951,171 × 96,951,171
  4. Step 4: Simplify right side
    64,602,615x = 9,399,529,558,271,240
  5. Step 5: Solve for x
    x = 9,399,529,558,271,240/64,602,615
  6. Step 6: Final answer
    x = 145,497,663.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.