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Finding the Third Proportional to 535,304,997 and 818,343,216

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Solution

The third proportional to 535,304,997 and 818,343,216 is: 1,251,035,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,304,997 : 818,343,216 = 818,343,216 : x
  2. Step 2: Convert to fraction form
    535,304,997/818,343,216 = 818,343,216/x
  3. Step 3: Cross multiply
    535,304,997x = 818,343,216 × 818,343,216
  4. Step 4: Simplify right side
    535,304,997x = 669,685,619,173,222,656
  5. Step 5: Solve for x
    x = 669,685,619,173,222,656/535,304,997
  6. Step 6: Final answer
    x = 1,251,035,620.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.