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Finding the Third Proportional to 820,860,998 and 1,805,892,576

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Solution

The third proportional to 820,860,998 and 1,805,892,576 is: 3,972,960,104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,860,998 : 1,805,892,576 = 1,805,892,576 : x
  2. Step 2: Convert to fraction form
    820,860,998/1,805,892,576 = 1,805,892,576/x
  3. Step 3: Cross multiply
    820,860,998x = 1,805,892,576 × 1,805,892,576
  4. Step 4: Simplify right side
    820,860,998x = 3,261,247,996,051,915,776
  5. Step 5: Solve for x
    x = 3,261,247,996,051,915,776/820,860,998
  6. Step 6: Final answer
    x = 3,972,960,104.08

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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.