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Finding the Third Proportional to 15,582,224.25 and 23,286,123

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Solution

The third proportional to 15,582,224.25 and 23,286,123 is: 34,798,852.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582,224.25 : 23,286,123 = 23,286,123 : x
  2. Step 2: Convert to fraction form
    15,582,224.25/23,286,123 = 23,286,123/x
  3. Step 3: Cross multiply
    15,582,224.25x = 23,286,123 × 23,286,123
  4. Step 4: Simplify right side
    15,582,224.25x = 542,243,524,371,129
  5. Step 5: Solve for x
    x = 542,243,524,371,129/15,582,224.25
  6. Step 6: Final answer
    x = 34,798,852.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.