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Finding the Third Proportional to 30,333,012 and 65,505,957

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Solution

The third proportional to 30,333,012 and 65,505,957 is: 141,464,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333,012 : 65,505,957 = 65,505,957 : x
  2. Step 2: Convert to fraction form
    30,333,012/65,505,957 = 65,505,957/x
  3. Step 3: Cross multiply
    30,333,012x = 65,505,957 × 65,505,957
  4. Step 4: Simplify right side
    30,333,012x = 4,291,030,402,485,849
  5. Step 5: Solve for x
    x = 4,291,030,402,485,849/30,333,012
  6. Step 6: Final answer
    x = 141,464,039.33

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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.