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Finding the Third Proportional to 55,452,082 and 123,654,340

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Solution

The third proportional to 55,452,082 and 123,654,340 is: 275,740,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452,082 : 123,654,340 = 123,654,340 : x
  2. Step 2: Convert to fraction form
    55,452,082/123,654,340 = 123,654,340/x
  3. Step 3: Cross multiply
    55,452,082x = 123,654,340 × 123,654,340
  4. Step 4: Simplify right side
    55,452,082x = 15,290,395,800,835,600
  5. Step 5: Solve for x
    x = 15,290,395,800,835,600/55,452,082
  6. Step 6: Final answer
    x = 275,740,698.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.