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Finding the Third Proportional to 9,288,000 and 13,658,998.50

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Solution

The third proportional to 9,288,000 and 13,658,998.50 is: 20,087,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288,000 : 13,658,998.50 = 13,658,998.50 : x
  2. Step 2: Convert to fraction form
    9,288,000/13,658,998.50 = 13,658,998.50/x
  3. Step 3: Cross multiply
    9,288,000x = 13,658,998.50 × 13,658,998.50
  4. Step 4: Simplify right side
    9,288,000x = 186,568,240,023,002.25
  5. Step 5: Solve for x
    x = 186,568,240,023,002.25/9,288,000
  6. Step 6: Final answer
    x = 20,087,019.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.