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Finding the Third Proportional to 289,438,304,544.75 and 437,880,030,000.56

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Solution

The third proportional to 289,438,304,544.75 and 437,880,030,000.56 is: 662,451,782,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,438,304,544.75 : 437,880,030,000.56 = 437,880,030,000.56 : x
  2. Step 2: Convert to fraction form
    289,438,304,544.75/437,880,030,000.56 = 437,880,030,000.56/x
  3. Step 3: Cross multiply
    289,438,304,544.75x = 437,880,030,000.56 × 437,880,030,000.56
  4. Step 4: Simplify right side
    289,438,304,544.75x = 191,738,920,673,291,337,203,712
  5. Step 5: Solve for x
    x = 191,738,920,673,291,337,203,712/289,438,304,544.75
  6. Step 6: Final answer
    x = 662,451,782,167.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.