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Finding the Third Proportional to 6,069,097 and 13,003,859

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Solution

The third proportional to 6,069,097 and 13,003,859 is: 27,862,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069,097 : 13,003,859 = 13,003,859 : x
  2. Step 2: Convert to fraction form
    6,069,097/13,003,859 = 13,003,859/x
  3. Step 3: Cross multiply
    6,069,097x = 13,003,859 × 13,003,859
  4. Step 4: Simplify right side
    6,069,097x = 169,100,348,891,881
  5. Step 5: Solve for x
    x = 169,100,348,891,881/6,069,097
  6. Step 6: Final answer
    x = 27,862,522.03

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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.