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Finding the Third Proportional to 5,849,228 and 12,623,268

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Solution

The third proportional to 5,849,228 and 12,623,268 is: 27,242,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,228 : 12,623,268 = 12,623,268 : x
  2. Step 2: Convert to fraction form
    5,849,228/12,623,268 = 12,623,268/x
  3. Step 3: Cross multiply
    5,849,228x = 12,623,268 × 12,623,268
  4. Step 4: Simplify right side
    5,849,228x = 159,346,894,999,824
  5. Step 5: Solve for x
    x = 159,346,894,999,824/5,849,228
  6. Step 6: Final answer
    x = 27,242,380.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.