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Finding the Third Proportional to 4,458,186 and 9,770,724

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Solution

The third proportional to 4,458,186 and 9,770,724 is: 21,413,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458,186 : 9,770,724 = 9,770,724 : x
  2. Step 2: Convert to fraction form
    4,458,186/9,770,724 = 9,770,724/x
  3. Step 3: Cross multiply
    4,458,186x = 9,770,724 × 9,770,724
  4. Step 4: Simplify right side
    4,458,186x = 95,467,047,484,176
  5. Step 5: Solve for x
    x = 95,467,047,484,176/4,458,186
  6. Step 6: Final answer
    x = 21,413,877.19

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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.