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Finding the Third Proportional to 9,029,698 and 19,284,008

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Solution

The third proportional to 9,029,698 and 19,284,008 is: 41,183,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029,698 : 19,284,008 = 19,284,008 : x
  2. Step 2: Convert to fraction form
    9,029,698/19,284,008 = 19,284,008/x
  3. Step 3: Cross multiply
    9,029,698x = 19,284,008 × 19,284,008
  4. Step 4: Simplify right side
    9,029,698x = 371,872,964,544,064
  5. Step 5: Solve for x
    x = 371,872,964,544,064/9,029,698
  6. Step 6: Final answer
    x = 41,183,322.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.