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Finding the Third Proportional to 9,574,944 and 20,951,616

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Solution

The third proportional to 9,574,944 and 20,951,616 is: 45,845,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574,944 : 20,951,616 = 20,951,616 : x
  2. Step 2: Convert to fraction form
    9,574,944/20,951,616 = 20,951,616/x
  3. Step 3: Cross multiply
    9,574,944x = 20,951,616 × 20,951,616
  4. Step 4: Simplify right side
    9,574,944x = 438,970,213,011,456
  5. Step 5: Solve for x
    x = 438,970,213,011,456/9,574,944
  6. Step 6: Final answer
    x = 45,845,721.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.