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Finding the Third Proportional to 8,563,984 and 11,664,670

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Solution

The third proportional to 8,563,984 and 11,664,670 is: 15,887,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563,984 : 11,664,670 = 11,664,670 : x
  2. Step 2: Convert to fraction form
    8,563,984/11,664,670 = 11,664,670/x
  3. Step 3: Cross multiply
    8,563,984x = 11,664,670 × 11,664,670
  4. Step 4: Simplify right side
    8,563,984x = 136,064,526,208,900
  5. Step 5: Solve for x
    x = 136,064,526,208,900/8,563,984
  6. Step 6: Final answer
    x = 15,887,993.98

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.