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Finding the Third Proportional to 483,148,357 and 738,774,253

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Solution

The third proportional to 483,148,357 and 738,774,253 is: 1,129,647,630.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,148,357 : 738,774,253 = 738,774,253 : x
  2. Step 2: Convert to fraction form
    483,148,357/738,774,253 = 738,774,253/x
  3. Step 3: Cross multiply
    483,148,357x = 738,774,253 × 738,774,253
  4. Step 4: Simplify right side
    483,148,357x = 545,787,396,895,708,032
  5. Step 5: Solve for x
    x = 545,787,396,895,708,032/483,148,357
  6. Step 6: Final answer
    x = 1,129,647,630.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.