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Finding the Third Proportional to 30,333,014 and 65,505,961

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Solution

The third proportional to 30,333,014 and 65,505,961 is: 141,464,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,333,014 : 65,505,961 = 65,505,961 : x
  2. Step 2: Convert to fraction form
    30,333,014/65,505,961 = 65,505,961/x
  3. Step 3: Cross multiply
    30,333,014x = 65,505,961 × 65,505,961
  4. Step 4: Simplify right side
    30,333,014x = 4,291,030,926,533,521
  5. Step 5: Solve for x
    x = 4,291,030,926,533,521/30,333,014
  6. Step 6: Final answer
    x = 141,464,047.28

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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.