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Finding the Third Proportional to 30,271,527.56 and 64,579,163.63

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Solution

The third proportional to 30,271,527.56 and 64,579,163.63 is: 137,768,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,271,527.56 : 64,579,163.63 = 64,579,163.63 : x
  2. Step 2: Convert to fraction form
    30,271,527.56/64,579,163.63 = 64,579,163.63/x
  3. Step 3: Cross multiply
    30,271,527.56x = 64,579,163.63 × 64,579,163.63
  4. Step 4: Simplify right side
    30,271,527.56x = 4,170,468,374,504,523
  5. Step 5: Solve for x
    x = 4,170,468,374,504,523/30,271,527.56
  6. Step 6: Final answer
    x = 137,768,679.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.