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Finding the Third Proportional to 2,112,494.63 and 4,561,742.25

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Solution

The third proportional to 2,112,494.63 and 4,561,742.25 is: 9,850,672.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,494.63 : 4,561,742.25 = 4,561,742.25 : x
  2. Step 2: Convert to fraction form
    2,112,494.63/4,561,742.25 = 4,561,742.25/x
  3. Step 3: Cross multiply
    2,112,494.63x = 4,561,742.25 × 4,561,742.25
  4. Step 4: Simplify right side
    2,112,494.63x = 20,809,492,355,435.06
  5. Step 5: Solve for x
    x = 20,809,492,355,435.06/2,112,494.63
  6. Step 6: Final answer
    x = 9,850,672.33

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Why These Related Problems?

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