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Finding the Third Proportional to 658,262,493 and 1,415,591,226

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Solution

The third proportional to 658,262,493 and 1,415,591,226 is: 3,044,224,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,262,493 : 1,415,591,226 = 1,415,591,226 : x
  2. Step 2: Convert to fraction form
    658,262,493/1,415,591,226 = 1,415,591,226/x
  3. Step 3: Cross multiply
    658,262,493x = 1,415,591,226 × 1,415,591,226
  4. Step 4: Simplify right side
    658,262,493x = 2,003,898,519,128,183,040
  5. Step 5: Solve for x
    x = 2,003,898,519,128,183,040/658,262,493
  6. Step 6: Final answer
    x = 3,044,224,060.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.