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Finding the Third Proportional to 1,959,084,006 and 4,262,527,740

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Solution

The third proportional to 1,959,084,006 and 4,262,527,740 is: 9,274,305,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959,084,006 : 4,262,527,740 = 4,262,527,740 : x
  2. Step 2: Convert to fraction form
    1,959,084,006/4,262,527,740 = 4,262,527,740/x
  3. Step 3: Cross multiply
    1,959,084,006x = 4,262,527,740 × 4,262,527,740
  4. Step 4: Simplify right side
    1,959,084,006x = 18,169,142,734,269,507,584
  5. Step 5: Solve for x
    x = 18,169,142,734,269,507,584/1,959,084,006
  6. Step 6: Final answer
    x = 9,274,305,072.48

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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.