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Finding the Third Proportional to 10,111,806 and 14,307,897

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Solution

The third proportional to 10,111,806 and 14,307,897 is: 20,245,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,111,806 : 14,307,897 = 14,307,897 : x
  2. Step 2: Convert to fraction form
    10,111,806/14,307,897 = 14,307,897/x
  3. Step 3: Cross multiply
    10,111,806x = 14,307,897 × 14,307,897
  4. Step 4: Simplify right side
    10,111,806x = 204,715,916,562,609
  5. Step 5: Solve for x
    x = 204,715,916,562,609/10,111,806
  6. Step 6: Final answer
    x = 20,245,237.75

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