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Finding the Third Proportional to 184,090,619,896 and 430,118,753,206

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Solution

The third proportional to 184,090,619,896 and 430,118,753,206 is: 1,004,951,485,110.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,090,619,896 : 430,118,753,206 = 430,118,753,206 : x
  2. Step 2: Convert to fraction form
    184,090,619,896/430,118,753,206 = 430,118,753,206/x
  3. Step 3: Cross multiply
    184,090,619,896x = 430,118,753,206 × 430,118,753,206
  4. Step 4: Simplify right side
    184,090,619,896x = 185,002,141,859,483,928,756,224
  5. Step 5: Solve for x
    x = 185,002,141,859,483,928,756,224/184,090,619,896
  6. Step 6: Final answer
    x = 1,004,951,485,110.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.