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Finding the Third Proportional to 9,590,933,889,358 and 20,710,496,305,108

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Solution

The third proportional to 9,590,933,889,358 and 20,710,496,305,108 is: 44,721,886,539,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590,933,889,358 : 20,710,496,305,108 = 20,710,496,305,108 : x
  2. Step 2: Convert to fraction form
    9,590,933,889,358/20,710,496,305,108 = 20,710,496,305,108/x
  3. Step 3: Cross multiply
    9,590,933,889,358x = 20,710,496,305,108 × 20,710,496,305,108
  4. Step 4: Simplify right side
    9,590,933,889,358x = 428,924,657,203,892,090,635,812,864
  5. Step 5: Solve for x
    x = 428,924,657,203,892,090,635,812,864/9,590,933,889,358
  6. Step 6: Final answer
    x = 44,721,886,539,101.52

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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.