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Finding the Third Proportional to 874,242,072 and 1,901,660,595.75

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Solution

The third proportional to 874,242,072 and 1,901,660,595.75 is: 4,136,512,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,242,072 : 1,901,660,595.75 = 1,901,660,595.75 : x
  2. Step 2: Convert to fraction form
    874,242,072/1,901,660,595.75 = 1,901,660,595.75/x
  3. Step 3: Cross multiply
    874,242,072x = 1,901,660,595.75 × 1,901,660,595.75
  4. Step 4: Simplify right side
    874,242,072x = 3,616,313,021,428,244,992
  5. Step 5: Solve for x
    x = 3,616,313,021,428,244,992/874,242,072
  6. Step 6: Final answer
    x = 4,136,512,228.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.