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Finding the Third Proportional to 2,317,092 and 5,046,109

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Solution

The third proportional to 2,317,092 and 5,046,109 is: 10,989,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317,092 : 5,046,109 = 5,046,109 : x
  2. Step 2: Convert to fraction form
    2,317,092/5,046,109 = 5,046,109/x
  3. Step 3: Cross multiply
    2,317,092x = 5,046,109 × 5,046,109
  4. Step 4: Simplify right side
    2,317,092x = 25,463,216,039,881
  5. Step 5: Solve for x
    x = 25,463,216,039,881/2,317,092
  6. Step 6: Final answer
    x = 10,989,298.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.