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Finding the Third Proportional to 9,201,900 and 19,937,361

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Solution

The third proportional to 9,201,900 and 19,937,361 is: 43,197,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201,900 : 19,937,361 = 19,937,361 : x
  2. Step 2: Convert to fraction form
    9,201,900/19,937,361 = 19,937,361/x
  3. Step 3: Cross multiply
    9,201,900x = 19,937,361 × 19,937,361
  4. Step 4: Simplify right side
    9,201,900x = 397,498,363,644,321
  5. Step 5: Solve for x
    x = 397,498,363,644,321/9,201,900
  6. Step 6: Final answer
    x = 43,197,422.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.