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Finding the Third Proportional to 184,090,619,904 and 430,118,753,226

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Solution

The third proportional to 184,090,619,904 and 430,118,753,226 is: 1,004,951,485,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,090,619,904 : 430,118,753,226 = 430,118,753,226 : x
  2. Step 2: Convert to fraction form
    184,090,619,904/430,118,753,226 = 430,118,753,226/x
  3. Step 3: Cross multiply
    184,090,619,904x = 430,118,753,226 × 430,118,753,226
  4. Step 4: Simplify right side
    184,090,619,904x = 185,002,141,876,688,695,328,768
  5. Step 5: Solve for x
    x = 185,002,141,876,688,695,328,768/184,090,619,904
  6. Step 6: Final answer
    x = 1,004,951,485,160.75

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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.