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Finding the Third Proportional to 611,362,008 and 1,291,728,816

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Solution

The third proportional to 611,362,008 and 1,291,728,816 is: 2,729,255,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,362,008 : 1,291,728,816 = 1,291,728,816 : x
  2. Step 2: Convert to fraction form
    611,362,008/1,291,728,816 = 1,291,728,816/x
  3. Step 3: Cross multiply
    611,362,008x = 1,291,728,816 × 1,291,728,816
  4. Step 4: Simplify right side
    611,362,008x = 1,668,563,334,084,761,856
  5. Step 5: Solve for x
    x = 1,668,563,334,084,761,856/611,362,008
  6. Step 6: Final answer
    x = 2,729,255,845.56

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.