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Finding the Third Proportional to 10,580,069 and 14,899,058

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Solution

The third proportional to 10,580,069 and 14,899,058 is: 20,981,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580,069 : 14,899,058 = 14,899,058 : x
  2. Step 2: Convert to fraction form
    10,580,069/14,899,058 = 14,899,058/x
  3. Step 3: Cross multiply
    10,580,069x = 14,899,058 × 14,899,058
  4. Step 4: Simplify right side
    10,580,069x = 221,981,929,287,364
  5. Step 5: Solve for x
    x = 221,981,929,287,364/10,580,069
  6. Step 6: Final answer
    x = 20,981,141.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.