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Finding the Third Proportional to 12,298,206 and 18,129,357

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Solution

The third proportional to 12,298,206 and 18,129,357 is: 26,725,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298,206 : 18,129,357 = 18,129,357 : x
  2. Step 2: Convert to fraction form
    12,298,206/18,129,357 = 18,129,357/x
  3. Step 3: Cross multiply
    12,298,206x = 18,129,357 × 18,129,357
  4. Step 4: Simplify right side
    12,298,206x = 328,673,585,233,449
  5. Step 5: Solve for x
    x = 328,673,585,233,449/12,298,206
  6. Step 6: Final answer
    x = 26,725,327.68

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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.