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Finding the Third Proportional to 2,182,109.63 and 4,741,928.58

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Solution

The third proportional to 2,182,109.63 and 4,741,928.58 is: 10,304,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,109.63 : 4,741,928.58 = 4,741,928.58 : x
  2. Step 2: Convert to fraction form
    2,182,109.63/4,741,928.58 = 4,741,928.58/x
  3. Step 3: Cross multiply
    2,182,109.63x = 4,741,928.58 × 4,741,928.58
  4. Step 4: Simplify right side
    2,182,109.63x = 22,485,886,640,038.59
  5. Step 5: Solve for x
    x = 22,485,886,640,038.59/2,182,109.63
  6. Step 6: Final answer
    x = 10,304,654.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.