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Finding the Third Proportional to 3,309,147,663 and 7,090,388,691

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Solution

The third proportional to 3,309,147,663 and 7,090,388,691 is: 15,192,314,429.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309,147,663 : 7,090,388,691 = 7,090,388,691 : x
  2. Step 2: Convert to fraction form
    3,309,147,663/7,090,388,691 = 7,090,388,691/x
  3. Step 3: Cross multiply
    3,309,147,663x = 7,090,388,691 × 7,090,388,691
  4. Step 4: Simplify right side
    3,309,147,663x = 50,273,611,789,460,692,992
  5. Step 5: Solve for x
    x = 50,273,611,789,460,692,992/3,309,147,663
  6. Step 6: Final answer
    x = 15,192,314,429.35

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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.