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Finding the Third Proportional to 17,123,114.25 and 25,829,823.38

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Solution

The third proportional to 17,123,114.25 and 25,829,823.38 is: 38,963,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123,114.25 : 25,829,823.38 = 25,829,823.38 : x
  2. Step 2: Convert to fraction form
    17,123,114.25/25,829,823.38 = 25,829,823.38/x
  3. Step 3: Cross multiply
    17,123,114.25x = 25,829,823.38 × 25,829,823.38
  4. Step 4: Simplify right side
    17,123,114.25x = 667,179,775,583,696.38
  5. Step 5: Solve for x
    x = 667,179,775,583,696.38/17,123,114.25
  6. Step 6: Final answer
    x = 38,963,693.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.