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Finding the Third Proportional to 13,503,655,285,355 and 18,219,601,322,133

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Solution

The third proportional to 13,503,655,285,355 and 18,219,601,322,133 is: 24,582,519,719,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503,655,285,355 : 18,219,601,322,133 = 18,219,601,322,133 : x
  2. Step 2: Convert to fraction form
    13,503,655,285,355/18,219,601,322,133 = 18,219,601,322,133/x
  3. Step 3: Cross multiply
    13,503,655,285,355x = 18,219,601,322,133 × 18,219,601,322,133
  4. Step 4: Simplify right side
    13,503,655,285,355x = 331,953,872,337,470,582,343,860,224
  5. Step 5: Solve for x
    x = 331,953,872,337,470,582,343,860,224/13,503,655,285,355
  6. Step 6: Final answer
    x = 24,582,519,719,492.66

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.