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Finding the Third Proportional to 5,982,432.19 and 8,971,392.94

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Solution

The third proportional to 5,982,432.19 and 8,971,392.94 is: 13,453,707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982,432.19 : 8,971,392.94 = 8,971,392.94 : x
  2. Step 2: Convert to fraction form
    5,982,432.19/8,971,392.94 = 8,971,392.94/x
  3. Step 3: Cross multiply
    5,982,432.19x = 8,971,392.94 × 8,971,392.94
  4. Step 4: Simplify right side
    5,982,432.19x = 80,485,891,239,024.88
  5. Step 5: Solve for x
    x = 80,485,891,239,024.88/5,982,432.19
  6. Step 6: Final answer
    x = 13,453,707.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.