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Finding the Third Proportional to 6,182,271 and 13,464,144

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Solution

The third proportional to 6,182,271 and 13,464,144 is: 29,323,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,271 : 13,464,144 = 13,464,144 : x
  2. Step 2: Convert to fraction form
    6,182,271/13,464,144 = 13,464,144/x
  3. Step 3: Cross multiply
    6,182,271x = 13,464,144 × 13,464,144
  4. Step 4: Simplify right side
    6,182,271x = 181,283,173,652,736
  5. Step 5: Solve for x
    x = 181,283,173,652,736/6,182,271
  6. Step 6: Final answer
    x = 29,323,071.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.