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Finding the Third Proportional to 1,796,558,097 and 3,909,467,799

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Solution

The third proportional to 1,796,558,097 and 3,909,467,799 is: 8,507,344,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,558,097 : 3,909,467,799 = 3,909,467,799 : x
  2. Step 2: Convert to fraction form
    1,796,558,097/3,909,467,799 = 3,909,467,799/x
  3. Step 3: Cross multiply
    1,796,558,097x = 3,909,467,799 × 3,909,467,799
  4. Step 4: Simplify right side
    1,796,558,097x = 15,283,938,471,417,905,152
  5. Step 5: Solve for x
    x = 15,283,938,471,417,905,152/1,796,558,097
  6. Step 6: Final answer
    x = 8,507,344,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.