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Finding the Third Proportional to 10,829,567.50 and 24,079,847

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Solution

The third proportional to 10,829,567.50 and 24,079,847 is: 53,542,215.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829,567.50 : 24,079,847 = 24,079,847 : x
  2. Step 2: Convert to fraction form
    10,829,567.50/24,079,847 = 24,079,847/x
  3. Step 3: Cross multiply
    10,829,567.50x = 24,079,847 × 24,079,847
  4. Step 4: Simplify right side
    10,829,567.50x = 579,839,031,543,409
  5. Step 5: Solve for x
    x = 579,839,031,543,409/10,829,567.50
  6. Step 6: Final answer
    x = 53,542,215.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.