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Finding the Third Proportional to 30,001,136 and 65,453,980

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Solution

The third proportional to 30,001,136 and 65,453,980 is: 142,802,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001,136 : 65,453,980 = 65,453,980 : x
  2. Step 2: Convert to fraction form
    30,001,136/65,453,980 = 65,453,980/x
  3. Step 3: Cross multiply
    30,001,136x = 65,453,980 × 65,453,980
  4. Step 4: Simplify right side
    30,001,136x = 4,284,223,497,840,400
  5. Step 5: Solve for x
    x = 4,284,223,497,840,400/30,001,136
  6. Step 6: Final answer
    x = 142,802,042.49

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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.