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Finding the Third Proportional to 9,842,656 and 21,621,104

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Solution

The third proportional to 9,842,656 and 21,621,104 is: 47,494,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842,656 : 21,621,104 = 21,621,104 : x
  2. Step 2: Convert to fraction form
    9,842,656/21,621,104 = 21,621,104/x
  3. Step 3: Cross multiply
    9,842,656x = 21,621,104 × 21,621,104
  4. Step 4: Simplify right side
    9,842,656x = 467,472,138,178,816
  5. Step 5: Solve for x
    x = 467,472,138,178,816/9,842,656
  6. Step 6: Final answer
    x = 47,494,511.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.