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Finding the Third Proportional to 370,850,678 and 772,220,817

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Solution

The third proportional to 370,850,678 and 772,220,817 is: 1,607,992,180.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,850,678 : 772,220,817 = 772,220,817 : x
  2. Step 2: Convert to fraction form
    370,850,678/772,220,817 = 772,220,817/x
  3. Step 3: Cross multiply
    370,850,678x = 772,220,817 × 772,220,817
  4. Step 4: Simplify right side
    370,850,678x = 596,324,990,208,147,456
  5. Step 5: Solve for x
    x = 596,324,990,208,147,456/370,850,678
  6. Step 6: Final answer
    x = 1,607,992,180.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.