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Finding the Third Proportional to 4,686,424 and 10,271,680

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Solution

The third proportional to 4,686,424 and 10,271,680 is: 22,513,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686,424 : 10,271,680 = 10,271,680 : x
  2. Step 2: Convert to fraction form
    4,686,424/10,271,680 = 10,271,680/x
  3. Step 3: Cross multiply
    4,686,424x = 10,271,680 × 10,271,680
  4. Step 4: Simplify right side
    4,686,424x = 105,507,410,022,400
  5. Step 5: Solve for x
    x = 105,507,410,022,400/4,686,424
  6. Step 6: Final answer
    x = 22,513,415.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.