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Finding the Third Proportional to 2,013,296,069 and 4,375,085,634

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Solution

The third proportional to 2,013,296,069 and 4,375,085,634 is: 9,507,481,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013,296,069 : 4,375,085,634 = 4,375,085,634 : x
  2. Step 2: Convert to fraction form
    2,013,296,069/4,375,085,634 = 4,375,085,634/x
  3. Step 3: Cross multiply
    2,013,296,069x = 4,375,085,634 × 4,375,085,634
  4. Step 4: Simplify right side
    2,013,296,069x = 19,141,374,304,833,183,744
  5. Step 5: Solve for x
    x = 19,141,374,304,833,183,744/2,013,296,069
  6. Step 6: Final answer
    x = 9,507,481,090.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.