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Finding the Third Proportional to 10,823,160 and 17,125,236

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Solution

The third proportional to 10,823,160 and 17,125,236 is: 27,096,865.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823,160 : 17,125,236 = 17,125,236 : x
  2. Step 2: Convert to fraction form
    10,823,160/17,125,236 = 17,125,236/x
  3. Step 3: Cross multiply
    10,823,160x = 17,125,236 × 17,125,236
  4. Step 4: Simplify right side
    10,823,160x = 293,273,708,055,696
  5. Step 5: Solve for x
    x = 293,273,708,055,696/10,823,160
  6. Step 6: Final answer
    x = 27,096,865.25

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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.