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Finding the Third Proportional to 1,504,141,616 and 3,298,848,430

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Solution

The third proportional to 1,504,141,616 and 3,298,848,430 is: 7,234,957,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504,141,616 : 3,298,848,430 = 3,298,848,430 : x
  2. Step 2: Convert to fraction form
    1,504,141,616/3,298,848,430 = 3,298,848,430/x
  3. Step 3: Cross multiply
    1,504,141,616x = 3,298,848,430 × 3,298,848,430
  4. Step 4: Simplify right side
    1,504,141,616x = 10,882,400,964,113,465,344
  5. Step 5: Solve for x
    x = 10,882,400,964,113,465,344/1,504,141,616
  6. Step 6: Final answer
    x = 7,234,957,698.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.