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Finding the Third Proportional to 4,641,719 and 9,968,968

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Solution

The third proportional to 4,641,719 and 9,968,968 is: 21,410,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641,719 : 9,968,968 = 9,968,968 : x
  2. Step 2: Convert to fraction form
    4,641,719/9,968,968 = 9,968,968/x
  3. Step 3: Cross multiply
    4,641,719x = 9,968,968 × 9,968,968
  4. Step 4: Simplify right side
    4,641,719x = 99,380,322,985,024
  5. Step 5: Solve for x
    x = 99,380,322,985,024/4,641,719
  6. Step 6: Final answer
    x = 21,410,241.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.