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Finding the Third Proportional to 124,628,761 and 288,493,014

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Solution

The third proportional to 124,628,761 and 288,493,014 is: 667,809,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628,761 : 288,493,014 = 288,493,014 : x
  2. Step 2: Convert to fraction form
    124,628,761/288,493,014 = 288,493,014/x
  3. Step 3: Cross multiply
    124,628,761x = 288,493,014 × 288,493,014
  4. Step 4: Simplify right side
    124,628,761x = 83,228,219,126,804,192
  5. Step 5: Solve for x
    x = 83,228,219,126,804,192/124,628,761
  6. Step 6: Final answer
    x = 667,809,087.24

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.