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Finding the Third Proportional to 9,308,944 and 19,744,736

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Solution

The third proportional to 9,308,944 and 19,744,736 is: 41,879,572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308,944 : 19,744,736 = 19,744,736 : x
  2. Step 2: Convert to fraction form
    9,308,944/19,744,736 = 19,744,736/x
  3. Step 3: Cross multiply
    9,308,944x = 19,744,736 × 19,744,736
  4. Step 4: Simplify right side
    9,308,944x = 389,854,599,709,696
  5. Step 5: Solve for x
    x = 389,854,599,709,696/9,308,944
  6. Step 6: Final answer
    x = 41,879,572.99

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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.