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Finding the Third Proportional to 535,304,164 and 818,342,146

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Solution

The third proportional to 535,304,164 and 818,342,146 is: 1,251,034,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,304,164 : 818,342,146 = 818,342,146 : x
  2. Step 2: Convert to fraction form
    535,304,164/818,342,146 = 818,342,146/x
  3. Step 3: Cross multiply
    535,304,164x = 818,342,146 × 818,342,146
  4. Step 4: Simplify right side
    535,304,164x = 669,683,867,919,885,312
  5. Step 5: Solve for x
    x = 669,683,867,919,885,312/535,304,164
  6. Step 6: Final answer
    x = 1,251,034,295.93

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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.