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Finding the Third Proportional to 8,967,347 and 12,582,964

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Solution

The third proportional to 8,967,347 and 12,582,964 is: 17,656,390.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967,347 : 12,582,964 = 12,582,964 : x
  2. Step 2: Convert to fraction form
    8,967,347/12,582,964 = 12,582,964/x
  3. Step 3: Cross multiply
    8,967,347x = 12,582,964 × 12,582,964
  4. Step 4: Simplify right side
    8,967,347x = 158,330,983,025,296
  5. Step 5: Solve for x
    x = 158,330,983,025,296/8,967,347
  6. Step 6: Final answer
    x = 17,656,390.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.