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Finding the Third Proportional to 30,001,132 and 65,453,972

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Solution

The third proportional to 30,001,132 and 65,453,972 is: 142,802,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001,132 : 65,453,972 = 65,453,972 : x
  2. Step 2: Convert to fraction form
    30,001,132/65,453,972 = 65,453,972/x
  3. Step 3: Cross multiply
    30,001,132x = 65,453,972 × 65,453,972
  4. Step 4: Simplify right side
    30,001,132x = 4,284,222,450,576,784
  5. Step 5: Solve for x
    x = 4,284,222,450,576,784/30,001,132
  6. Step 6: Final answer
    x = 142,802,026.62

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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.