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Finding the Third Proportional to 401,481,306 and 613,760,868

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Solution

The third proportional to 401,481,306 and 613,760,868 is: 938,281,303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,481,306 : 613,760,868 = 613,760,868 : x
  2. Step 2: Convert to fraction form
    401,481,306/613,760,868 = 613,760,868/x
  3. Step 3: Cross multiply
    401,481,306x = 613,760,868 × 613,760,868
  4. Step 4: Simplify right side
    401,481,306x = 376,702,403,088,113,408
  5. Step 5: Solve for x
    x = 376,702,403,088,113,408/401,481,306
  6. Step 6: Final answer
    x = 938,281,303.41

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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.