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Finding the Third Proportional to 3,558,890,019,009 and 7,724,480,523,972

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Solution

The third proportional to 3,558,890,019,009 and 7,724,480,523,972 is: 16,765,789,065,276.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558,890,019,009 : 7,724,480,523,972 = 7,724,480,523,972 : x
  2. Step 2: Convert to fraction form
    3,558,890,019,009/7,724,480,523,972 = 7,724,480,523,972/x
  3. Step 3: Cross multiply
    3,558,890,019,009x = 7,724,480,523,972 × 7,724,480,523,972
  4. Step 4: Simplify right side
    3,558,890,019,009x = 59,667,599,365,222,742,374,744,064
  5. Step 5: Solve for x
    x = 59,667,599,365,222,742,374,744,064/3,558,890,019,009
  6. Step 6: Final answer
    x = 16,765,789,065,276.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.