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Finding the Third Proportional to 6,271,533.84 and 13,886,209.69

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Solution

The third proportional to 6,271,533.84 and 13,886,209.69 is: 30,746,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271,533.84 : 13,886,209.69 = 13,886,209.69 : x
  2. Step 2: Convert to fraction form
    6,271,533.84/13,886,209.69 = 13,886,209.69/x
  3. Step 3: Cross multiply
    6,271,533.84x = 13,886,209.69 × 13,886,209.69
  4. Step 4: Simplify right side
    6,271,533.84x = 192,826,819,485,218.84
  5. Step 5: Solve for x
    x = 192,826,819,485,218.84/6,271,533.84
  6. Step 6: Final answer
    x = 30,746,357.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.