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Finding the Third Proportional to 136,462,565 and 322,141,824

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Solution

The third proportional to 136,462,565 and 322,141,824 is: 760,467,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,462,565 : 322,141,824 = 322,141,824 : x
  2. Step 2: Convert to fraction form
    136,462,565/322,141,824 = 322,141,824/x
  3. Step 3: Cross multiply
    136,462,565x = 322,141,824 × 322,141,824
  4. Step 4: Simplify right side
    136,462,565x = 103,775,354,770,046,976
  5. Step 5: Solve for x
    x = 103,775,354,770,046,976/136,462,565
  6. Step 6: Final answer
    x = 760,467,566.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.