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Finding the Third Proportional to 1,038,902,235 and 2,285,582,855

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Solution

The third proportional to 1,038,902,235 and 2,285,582,855 is: 5,028,277,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038,902,235 : 2,285,582,855 = 2,285,582,855 : x
  2. Step 2: Convert to fraction form
    1,038,902,235/2,285,582,855 = 2,285,582,855/x
  3. Step 3: Cross multiply
    1,038,902,235x = 2,285,582,855 × 2,285,582,855
  4. Step 4: Simplify right side
    1,038,902,235x = 5,223,888,987,069,950,976
  5. Step 5: Solve for x
    x = 5,223,888,987,069,950,976/1,038,902,235
  6. Step 6: Final answer
    x = 5,028,277,744.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.