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Finding the Third Proportional to 5,271,292.50 and 7,963,102

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Solution

The third proportional to 5,271,292.50 and 7,963,102 is: 12,029,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,292.50 : 7,963,102 = 7,963,102 : x
  2. Step 2: Convert to fraction form
    5,271,292.50/7,963,102 = 7,963,102/x
  3. Step 3: Cross multiply
    5,271,292.50x = 7,963,102 × 7,963,102
  4. Step 4: Simplify right side
    5,271,292.50x = 63,410,993,462,404
  5. Step 5: Solve for x
    x = 63,410,993,462,404/5,271,292.50
  6. Step 6: Final answer
    x = 12,029,496.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.