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Finding the Third Proportional to 9,590,933,889,404 and 20,710,496,305,204

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Solution

The third proportional to 9,590,933,889,404 and 20,710,496,305,204 is: 44,721,886,539,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,933,889,404 : 20,710,496,305,204 = 20,710,496,305,204 : x
  2. Step 2: Convert to fraction form
    9,590,933,889,404/20,710,496,305,204 = 20,710,496,305,204/x
  3. Step 3: Cross multiply
    9,590,933,889,404x = 20,710,496,305,204 × 20,710,496,305,204
  4. Step 4: Simplify right side
    9,590,933,889,404x = 428,924,657,207,868,543,157,141,504
  5. Step 5: Solve for x
    x = 428,924,657,207,868,543,157,141,504/9,590,933,889,404
  6. Step 6: Final answer
    x = 44,721,886,539,301.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.