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Finding the Third Proportional to 4,641,717 and 9,968,964

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Solution

The third proportional to 4,641,717 and 9,968,964 is: 21,410,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641,717 : 9,968,964 = 9,968,964 : x
  2. Step 2: Convert to fraction form
    4,641,717/9,968,964 = 9,968,964/x
  3. Step 3: Cross multiply
    4,641,717x = 9,968,964 × 9,968,964
  4. Step 4: Simplify right side
    4,641,717x = 99,380,243,233,296
  5. Step 5: Solve for x
    x = 99,380,243,233,296/4,641,717
  6. Step 6: Final answer
    x = 21,410,233.16

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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.