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Finding the Third Proportional to 9,292,680 and 19,929,951

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Solution

The third proportional to 9,292,680 and 19,929,951 is: 42,743,637.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292,680 : 19,929,951 = 19,929,951 : x
  2. Step 2: Convert to fraction form
    9,292,680/19,929,951 = 19,929,951/x
  3. Step 3: Cross multiply
    9,292,680x = 19,929,951 × 19,929,951
  4. Step 4: Simplify right side
    9,292,680x = 397,202,946,862,401
  5. Step 5: Solve for x
    x = 397,202,946,862,401/9,292,680
  6. Step 6: Final answer
    x = 42,743,637.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.