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Finding the Third Proportional to 6,182,273 and 13,464,148

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Solution

The third proportional to 6,182,273 and 13,464,148 is: 29,323,079.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182,273 : 13,464,148 = 13,464,148 : x
  2. Step 2: Convert to fraction form
    6,182,273/13,464,148 = 13,464,148/x
  3. Step 3: Cross multiply
    6,182,273x = 13,464,148 × 13,464,148
  4. Step 4: Simplify right side
    6,182,273x = 181,283,281,365,904
  5. Step 5: Solve for x
    x = 181,283,281,365,904/6,182,273
  6. Step 6: Final answer
    x = 29,323,079.29

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Why These Related Problems?

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