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Finding the Third Proportional to 10,699,956 and 23,145,144

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Solution

The third proportional to 10,699,956 and 23,145,144 is: 50,065,410.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699,956 : 23,145,144 = 23,145,144 : x
  2. Step 2: Convert to fraction form
    10,699,956/23,145,144 = 23,145,144/x
  3. Step 3: Cross multiply
    10,699,956x = 23,145,144 × 23,145,144
  4. Step 4: Simplify right side
    10,699,956x = 535,697,690,780,736
  5. Step 5: Solve for x
    x = 535,697,690,780,736/10,699,956
  6. Step 6: Final answer
    x = 50,065,410.62

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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.