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Finding the Third Proportional to 9,827,036 and 21,263,698

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Solution

The third proportional to 9,827,036 and 21,263,698 is: 46,010,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827,036 : 21,263,698 = 21,263,698 : x
  2. Step 2: Convert to fraction form
    9,827,036/21,263,698 = 21,263,698/x
  3. Step 3: Cross multiply
    9,827,036x = 21,263,698 × 21,263,698
  4. Step 4: Simplify right side
    9,827,036x = 452,144,852,635,204
  5. Step 5: Solve for x
    x = 452,144,852,635,204/9,827,036
  6. Step 6: Final answer
    x = 46,010,297.78

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