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Finding the Third Proportional to 3,679,619,409 and 8,025,211,201.50

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Solution

The third proportional to 3,679,619,409 and 8,025,211,201.50 is: 17,502,901,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679,619,409 : 8,025,211,201.50 = 8,025,211,201.50 : x
  2. Step 2: Convert to fraction form
    3,679,619,409/8,025,211,201.50 = 8,025,211,201.50/x
  3. Step 3: Cross multiply
    3,679,619,409x = 8,025,211,201.50 × 8,025,211,201.50
  4. Step 4: Simplify right side
    3,679,619,409x = 64,404,014,828,681,076,736
  5. Step 5: Solve for x
    x = 64,404,014,828,681,076,736/3,679,619,409
  6. Step 6: Final answer
    x = 17,502,901,161.78

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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.