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Finding the Third Proportional to 9,477,744 and 18,483,090

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Solution

The third proportional to 9,477,744 and 18,483,090 is: 36,044,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,744 : 18,483,090 = 18,483,090 : x
  2. Step 2: Convert to fraction form
    9,477,744/18,483,090 = 18,483,090/x
  3. Step 3: Cross multiply
    9,477,744x = 18,483,090 × 18,483,090
  4. Step 4: Simplify right side
    9,477,744x = 341,624,615,948,100
  5. Step 5: Solve for x
    x = 341,624,615,948,100/9,477,744
  6. Step 6: Final answer
    x = 36,044,929.67

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.