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Finding the Third Proportional to 12,329,198 and 19,635,356

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Solution

The third proportional to 12,329,198 and 19,635,356 is: 31,271,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329,198 : 19,635,356 = 19,635,356 : x
  2. Step 2: Convert to fraction form
    12,329,198/19,635,356 = 19,635,356/x
  3. Step 3: Cross multiply
    12,329,198x = 19,635,356 × 19,635,356
  4. Step 4: Simplify right side
    12,329,198x = 385,547,205,246,736
  5. Step 5: Solve for x
    x = 385,547,205,246,736/12,329,198
  6. Step 6: Final answer
    x = 31,271,069.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.