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Finding the Third Proportional to 353,497,274,613 and 775,433,442,474

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Solution

The third proportional to 353,497,274,613 and 775,433,442,474 is: 1,700,994,793,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,497,274,613 : 775,433,442,474 = 775,433,442,474 : x
  2. Step 2: Convert to fraction form
    353,497,274,613/775,433,442,474 = 775,433,442,474/x
  3. Step 3: Cross multiply
    353,497,274,613x = 775,433,442,474 × 775,433,442,474
  4. Step 4: Simplify right side
    353,497,274,613x = 601,297,023,707,078,276,939,776
  5. Step 5: Solve for x
    x = 601,297,023,707,078,276,939,776/353,497,274,613
  6. Step 6: Final answer
    x = 1,700,994,793,709.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.