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Finding the Third Proportional to 2,111,411.81 and 4,609,871.37

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Solution

The third proportional to 2,111,411.81 and 4,609,871.37 is: 10,064,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,411.81 : 4,609,871.37 = 4,609,871.37 : x
  2. Step 2: Convert to fraction form
    2,111,411.81/4,609,871.37 = 4,609,871.37/x
  3. Step 3: Cross multiply
    2,111,411.81x = 4,609,871.37 × 4,609,871.37
  4. Step 4: Simplify right side
    2,111,411.81x = 21,250,914,022,015.15
  5. Step 5: Solve for x
    x = 21,250,914,022,015.15/2,111,411.81
  6. Step 6: Final answer
    x = 10,064,788.83

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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.