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Finding the Third Proportional to 36,095,128 and 77,944,016

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Solution

The third proportional to 36,095,128 and 77,944,016 is: 168,312,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,095,128 : 77,944,016 = 77,944,016 : x
  2. Step 2: Convert to fraction form
    36,095,128/77,944,016 = 77,944,016/x
  3. Step 3: Cross multiply
    36,095,128x = 77,944,016 × 77,944,016
  4. Step 4: Simplify right side
    36,095,128x = 6,075,269,630,208,256
  5. Step 5: Solve for x
    x = 6,075,269,630,208,256/36,095,128
  6. Step 6: Final answer
    x = 168,312,732.68

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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.