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Finding the Third Proportional to 6,069,103 and 13,003,897

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Solution

The third proportional to 6,069,103 and 13,003,897 is: 27,862,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,103 : 13,003,897 = 13,003,897 : x
  2. Step 2: Convert to fraction form
    6,069,103/13,003,897 = 13,003,897/x
  3. Step 3: Cross multiply
    6,069,103x = 13,003,897 × 13,003,897
  4. Step 4: Simplify right side
    6,069,103x = 169,101,337,186,609
  5. Step 5: Solve for x
    x = 169,101,337,186,609/6,069,103
  6. Step 6: Final answer
    x = 27,862,657.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.