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Finding the Third Proportional to 377,621,984 and 583,203,228

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Solution

The third proportional to 377,621,984 and 583,203,228 is: 900,704,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,621,984 : 583,203,228 = 583,203,228 : x
  2. Step 2: Convert to fraction form
    377,621,984/583,203,228 = 583,203,228/x
  3. Step 3: Cross multiply
    377,621,984x = 583,203,228 × 583,203,228
  4. Step 4: Simplify right side
    377,621,984x = 340,126,005,149,619,968
  5. Step 5: Solve for x
    x = 340,126,005,149,619,968/377,621,984
  6. Step 6: Final answer
    x = 900,704,989.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.