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Finding the Third Proportional to 9,364,232,109 and 13,529,698,305

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Solution

The third proportional to 9,364,232,109 and 13,529,698,305 is: 19,548,077,631.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364,232,109 : 13,529,698,305 = 13,529,698,305 : x
  2. Step 2: Convert to fraction form
    9,364,232,109/13,529,698,305 = 13,529,698,305/x
  3. Step 3: Cross multiply
    9,364,232,109x = 13,529,698,305 × 13,529,698,305
  4. Step 4: Simplify right side
    9,364,232,109x = 183,052,736,224,319,864,832
  5. Step 5: Solve for x
    x = 183,052,736,224,319,864,832/9,364,232,109
  6. Step 6: Final answer
    x = 19,548,077,631.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.