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Finding the Third Proportional to 233,265,550 and 501,148,337

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Solution

The third proportional to 233,265,550 and 501,148,337 is: 1,076,668,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,550 : 501,148,337 = 501,148,337 : x
  2. Step 2: Convert to fraction form
    233,265,550/501,148,337 = 501,148,337/x
  3. Step 3: Cross multiply
    233,265,550x = 501,148,337 × 501,148,337
  4. Step 4: Simplify right side
    233,265,550x = 251,149,655,677,865,568
  5. Step 5: Solve for x
    x = 251,149,655,677,865,568/233,265,550
  6. Step 6: Final answer
    x = 1,076,668,439.37

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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.