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Finding the Third Proportional to 4,480,596 and 9,832,104

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Solution

The third proportional to 4,480,596 and 9,832,104 is: 21,575,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,480,596 : 9,832,104 = 9,832,104 : x
  2. Step 2: Convert to fraction form
    4,480,596/9,832,104 = 9,832,104/x
  3. Step 3: Cross multiply
    4,480,596x = 9,832,104 × 9,832,104
  4. Step 4: Simplify right side
    4,480,596x = 96,670,269,066,816
  5. Step 5: Solve for x
    x = 96,670,269,066,816/4,480,596
  6. Step 6: Final answer
    x = 21,575,314.77

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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.