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Finding the Third Proportional to 9,948,736 and 21,419,584

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Solution

The third proportional to 9,948,736 and 21,419,584 is: 46,116,268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948,736 : 21,419,584 = 21,419,584 : x
  2. Step 2: Convert to fraction form
    9,948,736/21,419,584 = 21,419,584/x
  3. Step 3: Cross multiply
    9,948,736x = 21,419,584 × 21,419,584
  4. Step 4: Simplify right side
    9,948,736x = 458,798,578,733,056
  5. Step 5: Solve for x
    x = 458,798,578,733,056/9,948,736
  6. Step 6: Final answer
    x = 46,116,268.31

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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.