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Finding the Third Proportional to 1,306,237,504 and 2,820,269,004

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Solution

The third proportional to 1,306,237,504 and 2,820,269,004 is: 6,089,181,508.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,237,504 : 2,820,269,004 = 2,820,269,004 : x
  2. Step 2: Convert to fraction form
    1,306,237,504/2,820,269,004 = 2,820,269,004/x
  3. Step 3: Cross multiply
    1,306,237,504x = 2,820,269,004 × 2,820,269,004
  4. Step 4: Simplify right side
    1,306,237,504x = 7,953,917,254,923,152,384
  5. Step 5: Solve for x
    x = 7,953,917,254,923,152,384/1,306,237,504
  6. Step 6: Final answer
    x = 6,089,181,508.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.