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Finding the Third Proportional to 1,617,775,846 and 3,485,462,642

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Solution

The third proportional to 1,617,775,846 and 3,485,462,642 is: 7,509,352,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,775,846 : 3,485,462,642 = 3,485,462,642 : x
  2. Step 2: Convert to fraction form
    1,617,775,846/3,485,462,642 = 3,485,462,642/x
  3. Step 3: Cross multiply
    1,617,775,846x = 3,485,462,642 × 3,485,462,642
  4. Step 4: Simplify right side
    1,617,775,846x = 12,148,449,828,777,619,456
  5. Step 5: Solve for x
    x = 12,148,449,828,777,619,456/1,617,775,846
  6. Step 6: Final answer
    x = 7,509,352,954.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.