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Finding the Third Proportional to 12,384,029 and 18,212,070

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Solution

The third proportional to 12,384,029 and 18,212,070 is: 26,782,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384,029 : 18,212,070 = 18,212,070 : x
  2. Step 2: Convert to fraction form
    12,384,029/18,212,070 = 18,212,070/x
  3. Step 3: Cross multiply
    12,384,029x = 18,212,070 × 18,212,070
  4. Step 4: Simplify right side
    12,384,029x = 331,679,493,684,900
  5. Step 5: Solve for x
    x = 331,679,493,684,900/12,384,029
  6. Step 6: Final answer
    x = 26,782,842.13

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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.