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Finding the Third Proportional to 540,933,816 and 811,511,550

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Solution

The third proportional to 540,933,816 and 811,511,550 is: 1,217,433,586.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,933,816 : 811,511,550 = 811,511,550 : x
  2. Step 2: Convert to fraction form
    540,933,816/811,511,550 = 811,511,550/x
  3. Step 3: Cross multiply
    540,933,816x = 811,511,550 × 811,511,550
  4. Step 4: Simplify right side
    540,933,816x = 658,550,995,783,402,496
  5. Step 5: Solve for x
    x = 658,550,995,783,402,496/540,933,816
  6. Step 6: Final answer
    x = 1,217,433,586.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.