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Finding the Third Proportional to 4,282,735.50 and 9,271,143

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Solution

The third proportional to 4,282,735.50 and 9,271,143 is: 20,069,904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282,735.50 : 9,271,143 = 9,271,143 : x
  2. Step 2: Convert to fraction form
    4,282,735.50/9,271,143 = 9,271,143/x
  3. Step 3: Cross multiply
    4,282,735.50x = 9,271,143 × 9,271,143
  4. Step 4: Simplify right side
    4,282,735.50x = 85,954,092,526,449
  5. Step 5: Solve for x
    x = 85,954,092,526,449/4,282,735.50
  6. Step 6: Final answer
    x = 20,069,904.51

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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.