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Finding the Third Proportional to 1,413,679,489 and 2,277,814,247

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Solution

The third proportional to 1,413,679,489 and 2,277,814,247 is: 3,670,165,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413,679,489 : 2,277,814,247 = 2,277,814,247 : x
  2. Step 2: Convert to fraction form
    1,413,679,489/2,277,814,247 = 2,277,814,247/x
  3. Step 3: Cross multiply
    1,413,679,489x = 2,277,814,247 × 2,277,814,247
  4. Step 4: Simplify right side
    1,413,679,489x = 5,188,437,743,836,177,408
  5. Step 5: Solve for x
    x = 5,188,437,743,836,177,408/1,413,679,489
  6. Step 6: Final answer
    x = 3,670,165,539.08

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.