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Finding the Third Proportional to 9,839,513.81 and 21,409,579.69

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Solution

The third proportional to 9,839,513.81 and 21,409,579.69 is: 46,584,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839,513.81 : 21,409,579.69 = 21,409,579.69 : x
  2. Step 2: Convert to fraction form
    9,839,513.81/21,409,579.69 = 21,409,579.69/x
  3. Step 3: Cross multiply
    9,839,513.81x = 21,409,579.69 × 21,409,579.69
  4. Step 4: Simplify right side
    9,839,513.81x = 458,370,102,395,412.62
  5. Step 5: Solve for x
    x = 458,370,102,395,412.62/9,839,513.81
  6. Step 6: Final answer
    x = 46,584,629.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.