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Finding the Third Proportional to 7,831,119 and 16,819,023.75

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Solution

The third proportional to 7,831,119 and 16,819,023.75 is: 36,122,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831,119 : 16,819,023.75 = 16,819,023.75 : x
  2. Step 2: Convert to fraction form
    7,831,119/16,819,023.75 = 16,819,023.75/x
  3. Step 3: Cross multiply
    7,831,119x = 16,819,023.75 × 16,819,023.75
  4. Step 4: Simplify right side
    7,831,119x = 282,879,559,903,064.06
  5. Step 5: Solve for x
    x = 282,879,559,903,064.06/7,831,119
  6. Step 6: Final answer
    x = 36,122,495.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.