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Finding the Third Proportional to 233,231,451 and 539,945,125

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Solution

The third proportional to 233,231,451 and 539,945,125 is: 1,250,006,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,451 : 539,945,125 = 539,945,125 : x
  2. Step 2: Convert to fraction form
    233,231,451/539,945,125 = 539,945,125/x
  3. Step 3: Cross multiply
    233,231,451x = 539,945,125 × 539,945,125
  4. Step 4: Simplify right side
    233,231,451x = 291,540,738,011,265,600
  5. Step 5: Solve for x
    x = 291,540,738,011,265,600/233,231,451
  6. Step 6: Final answer
    x = 1,250,006,106.64

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.