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Finding the Third Proportional to 535,553,616 and 827,566,137

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Solution

The third proportional to 535,553,616 and 827,566,137 is: 1,278,799,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,553,616 : 827,566,137 = 827,566,137 : x
  2. Step 2: Convert to fraction form
    535,553,616/827,566,137 = 827,566,137/x
  3. Step 3: Cross multiply
    535,553,616x = 827,566,137 × 827,566,137
  4. Step 4: Simplify right side
    535,553,616x = 684,865,711,109,102,720
  5. Step 5: Solve for x
    x = 684,865,711,109,102,720/535,553,616
  6. Step 6: Final answer
    x = 1,278,799,527.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.