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Finding the Third Proportional to 353,497,275,414 and 775,433,443,860

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Solution

The third proportional to 353,497,275,414 and 775,433,443,860 is: 1,700,994,795,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,497,275,414 : 775,433,443,860 = 775,433,443,860 : x
  2. Step 2: Convert to fraction form
    353,497,275,414/775,433,443,860 = 775,433,443,860/x
  3. Step 3: Cross multiply
    353,497,275,414x = 775,433,443,860 × 775,433,443,860
  4. Step 4: Simplify right side
    353,497,275,414x = 601,297,025,856,579,754,262,528
  5. Step 5: Solve for x
    x = 601,297,025,856,579,754,262,528/353,497,275,414
  6. Step 6: Final answer
    x = 1,700,994,795,935.47

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