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Finding the Third Proportional to 497,375,957,125.50 and 764,030,318,472

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Solution

The third proportional to 497,375,957,125.50 and 764,030,318,472 is: 1,173,644,039,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375,957,125.50 : 764,030,318,472 = 764,030,318,472 : x
  2. Step 2: Convert to fraction form
    497,375,957,125.50/764,030,318,472 = 764,030,318,472/x
  3. Step 3: Cross multiply
    497,375,957,125.50x = 764,030,318,472 × 764,030,318,472
  4. Step 4: Simplify right side
    497,375,957,125.50x = 583,742,327,544,425,763,307,520
  5. Step 5: Solve for x
    x = 583,742,327,544,425,763,307,520/497,375,957,125.50
  6. Step 6: Final answer
    x = 1,173,644,039,647.73

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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.