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Finding the Third Proportional to 353,497,274,617 and 775,433,442,483

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Solution

The third proportional to 353,497,274,617 and 775,433,442,483 is: 1,700,994,793,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,497,274,617 : 775,433,442,483 = 775,433,442,483 : x
  2. Step 2: Convert to fraction form
    353,497,274,617/775,433,442,483 = 775,433,442,483/x
  3. Step 3: Cross multiply
    353,497,274,617x = 775,433,442,483 × 775,433,442,483
  4. Step 4: Simplify right side
    353,497,274,617x = 601,297,023,721,036,048,236,544
  5. Step 5: Solve for x
    x = 601,297,023,721,036,048,236,544/353,497,274,617
  6. Step 6: Final answer
    x = 1,700,994,793,729.36

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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.