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Finding the Third Proportional to 53,968,764 and 82,902,621

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Solution

The third proportional to 53,968,764 and 82,902,621 is: 127,348,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968,764 : 82,902,621 = 82,902,621 : x
  2. Step 2: Convert to fraction form
    53,968,764/82,902,621 = 82,902,621/x
  3. Step 3: Cross multiply
    53,968,764x = 82,902,621 × 82,902,621
  4. Step 4: Simplify right side
    53,968,764x = 6,872,844,568,669,641
  5. Step 5: Solve for x
    x = 6,872,844,568,669,641/53,968,764
  6. Step 6: Final answer
    x = 127,348,563.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.