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Finding the Third Proportional to 61,184,909,027 and 131,667,908,494

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Solution

The third proportional to 61,184,909,027 and 131,667,908,494 is: 283,345,001,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,184,909,027 : 131,667,908,494 = 131,667,908,494 : x
  2. Step 2: Convert to fraction form
    61,184,909,027/131,667,908,494 = 131,667,908,494/x
  3. Step 3: Cross multiply
    61,184,909,027x = 131,667,908,494 × 131,667,908,494
  4. Step 4: Simplify right side
    61,184,909,027x = 17,336,438,127,184,356,311,040
  5. Step 5: Solve for x
    x = 17,336,438,127,184,356,311,040/61,184,909,027
  6. Step 6: Final answer
    x = 283,345,001,290.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.