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Finding the Third Proportional to 4,431,565 and 9,639,584

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Solution

The third proportional to 4,431,565 and 9,639,584 is: 20,968,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431,565 : 9,639,584 = 9,639,584 : x
  2. Step 2: Convert to fraction form
    4,431,565/9,639,584 = 9,639,584/x
  3. Step 3: Cross multiply
    4,431,565x = 9,639,584 × 9,639,584
  4. Step 4: Simplify right side
    4,431,565x = 92,921,579,693,056
  5. Step 5: Solve for x
    x = 92,921,579,693,056/4,431,565
  6. Step 6: Final answer
    x = 20,968,118.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.