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Finding the Third Proportional to 9,882,796 and 21,340,232

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Solution

The third proportional to 9,882,796 and 21,340,232 is: 46,080,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882,796 : 21,340,232 = 21,340,232 : x
  2. Step 2: Convert to fraction form
    9,882,796/21,340,232 = 21,340,232/x
  3. Step 3: Cross multiply
    9,882,796x = 21,340,232 × 21,340,232
  4. Step 4: Simplify right side
    9,882,796x = 455,405,501,813,824
  5. Step 5: Solve for x
    x = 455,405,501,813,824/9,882,796
  6. Step 6: Final answer
    x = 46,080,633.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.