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Finding the Third Proportional to 18,430,183,477,152 and 40,104,821,674,712

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Solution

The third proportional to 18,430,183,477,152 and 40,104,821,674,712 is: 87,269,707,518,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430,183,477,152 : 40,104,821,674,712 = 40,104,821,674,712 : x
  2. Step 2: Convert to fraction form
    18,430,183,477,152/40,104,821,674,712 = 40,104,821,674,712/x
  3. Step 3: Cross multiply
    18,430,183,477,152x = 40,104,821,674,712 × 40,104,821,674,712
  4. Step 4: Simplify right side
    18,430,183,477,152x = 1,608,396,721,560,449,483,186,110,464
  5. Step 5: Solve for x
    x = 1,608,396,721,560,449,483,186,110,464/18,430,183,477,152
  6. Step 6: Final answer
    x = 87,269,707,518,342.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.