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Finding the Third Proportional to 10,823,148 and 17,125,218

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Solution

The third proportional to 10,823,148 and 17,125,218 is: 27,096,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823,148 : 17,125,218 = 17,125,218 : x
  2. Step 2: Convert to fraction form
    10,823,148/17,125,218 = 17,125,218/x
  3. Step 3: Cross multiply
    10,823,148x = 17,125,218 × 17,125,218
  4. Step 4: Simplify right side
    10,823,148x = 293,273,091,547,524
  5. Step 5: Solve for x
    x = 293,273,091,547,524/10,823,148
  6. Step 6: Final answer
    x = 27,096,838.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.