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Finding the Third Proportional to 12,274,140 and 18,411,210

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Solution

The third proportional to 12,274,140 and 18,411,210 is: 27,616,815

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274,140 : 18,411,210 = 18,411,210 : x
  2. Step 2: Convert to fraction form
    12,274,140/18,411,210 = 18,411,210/x
  3. Step 3: Cross multiply
    12,274,140x = 18,411,210 × 18,411,210
  4. Step 4: Simplify right side
    12,274,140x = 338,972,653,664,100
  5. Step 5: Solve for x
    x = 338,972,653,664,100/12,274,140
  6. Step 6: Final answer
    x = 27,616,815

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.