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Finding the Third Proportional to 3,163,227,645 and 6,802,510,173

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Solution

The third proportional to 3,163,227,645 and 6,802,510,173 is: 14,628,774,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,227,645 : 6,802,510,173 = 6,802,510,173 : x
  2. Step 2: Convert to fraction form
    3,163,227,645/6,802,510,173 = 6,802,510,173/x
  3. Step 3: Cross multiply
    3,163,227,645x = 6,802,510,173 × 6,802,510,173
  4. Step 4: Simplify right side
    3,163,227,645x = 46,274,144,653,768,491,008
  5. Step 5: Solve for x
    x = 46,274,144,653,768,491,008/3,163,227,645
  6. Step 6: Final answer
    x = 14,628,774,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.