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Finding the Third Proportional to 3,092,580.14 and 6,397,299.28

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Solution

The third proportional to 3,092,580.14 and 6,397,299.28 is: 13,233,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092,580.14 : 6,397,299.28 = 6,397,299.28 : x
  2. Step 2: Convert to fraction form
    3,092,580.14/6,397,299.28 = 6,397,299.28/x
  3. Step 3: Cross multiply
    3,092,580.14x = 6,397,299.28 × 6,397,299.28
  4. Step 4: Simplify right side
    3,092,580.14x = 40,925,438,093,881.77
  5. Step 5: Solve for x
    x = 40,925,438,093,881.77/3,092,580.14
  6. Step 6: Final answer
    x = 13,233,428.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.