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Finding the Third Proportional to 10,111,764 and 14,307,834

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Solution

The third proportional to 10,111,764 and 14,307,834 is: 20,245,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111,764 : 14,307,834 = 14,307,834 : x
  2. Step 2: Convert to fraction form
    10,111,764/14,307,834 = 14,307,834/x
  3. Step 3: Cross multiply
    10,111,764x = 14,307,834 × 14,307,834
  4. Step 4: Simplify right side
    10,111,764x = 204,714,113,771,556
  5. Step 5: Solve for x
    x = 204,714,113,771,556/10,111,764
  6. Step 6: Final answer
    x = 20,245,143.55

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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.