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Finding the Third Proportional to 220,911,710 and 480,608,896

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Solution

The third proportional to 220,911,710 and 480,608,896 is: 1,045,598,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,911,710 : 480,608,896 = 480,608,896 : x
  2. Step 2: Convert to fraction form
    220,911,710/480,608,896 = 480,608,896/x
  3. Step 3: Cross multiply
    220,911,710x = 480,608,896 × 480,608,896
  4. Step 4: Simplify right side
    220,911,710x = 230,984,910,914,338,816
  5. Step 5: Solve for x
    x = 230,984,910,914,338,816/220,911,710
  6. Step 6: Final answer
    x = 1,045,598,311.26

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Why These Related Problems?

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