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Finding the Third Proportional to 12,294,017 and 18,042,433.50

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Solution

The third proportional to 12,294,017 and 18,042,433.50 is: 26,478,685.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,017 : 18,042,433.50 = 18,042,433.50 : x
  2. Step 2: Convert to fraction form
    12,294,017/18,042,433.50 = 18,042,433.50/x
  3. Step 3: Cross multiply
    12,294,017x = 18,042,433.50 × 18,042,433.50
  4. Step 4: Simplify right side
    12,294,017x = 325,529,406,601,922.25
  5. Step 5: Solve for x
    x = 325,529,406,601,922.25/12,294,017
  6. Step 6: Final answer
    x = 26,478,685.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.