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Finding the Third Proportional to 9,444,980 and 20,024,968

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Solution

The third proportional to 9,444,980 and 20,024,968 is: 42,456,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444,980 : 20,024,968 = 20,024,968 : x
  2. Step 2: Convert to fraction form
    9,444,980/20,024,968 = 20,024,968/x
  3. Step 3: Cross multiply
    9,444,980x = 20,024,968 × 20,024,968
  4. Step 4: Simplify right side
    9,444,980x = 400,999,343,401,024
  5. Step 5: Solve for x
    x = 400,999,343,401,024/9,444,980
  6. Step 6: Final answer
    x = 42,456,346.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.