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Finding the Third Proportional to 11,885,670 and 17,856,900

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Solution

The third proportional to 11,885,670 and 17,856,900 is: 26,828,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885,670 : 17,856,900 = 17,856,900 : x
  2. Step 2: Convert to fraction form
    11,885,670/17,856,900 = 17,856,900/x
  3. Step 3: Cross multiply
    11,885,670x = 17,856,900 × 17,856,900
  4. Step 4: Simplify right side
    11,885,670x = 318,868,877,610,000
  5. Step 5: Solve for x
    x = 318,868,877,610,000/11,885,670
  6. Step 6: Final answer
    x = 26,828,010.34

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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.