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Finding the Third Proportional to 55,835,760 and 122,693,394

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Solution

The third proportional to 55,835,760 and 122,693,394 is: 269,606,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,835,760 : 122,693,394 = 122,693,394 : x
  2. Step 2: Convert to fraction form
    55,835,760/122,693,394 = 122,693,394/x
  3. Step 3: Cross multiply
    55,835,760x = 122,693,394 × 122,693,394
  4. Step 4: Simplify right side
    55,835,760x = 15,053,668,931,239,236
  5. Step 5: Solve for x
    x = 15,053,668,931,239,236/55,835,760
  6. Step 6: Final answer
    x = 269,606,233.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.