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Finding the Third Proportional to 276,135,527.25 and 613,565,523

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Solution

The third proportional to 276,135,527.25 and 613,565,523 is: 1,363,325,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,135,527.25 : 613,565,523 = 613,565,523 : x
  2. Step 2: Convert to fraction form
    276,135,527.25/613,565,523 = 613,565,523/x
  3. Step 3: Cross multiply
    276,135,527.25x = 613,565,523 × 613,565,523
  4. Step 4: Simplify right side
    276,135,527.25x = 376,462,651,014,263,552
  5. Step 5: Solve for x
    x = 376,462,651,014,263,552/276,135,527.25
  6. Step 6: Final answer
    x = 1,363,325,663.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.