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Finding the Third Proportional to 7,699,357,867.50 and 16,503,729,075

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Solution

The third proportional to 7,699,357,867.50 and 16,503,729,075 is: 35,376,076,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699,357,867.50 : 16,503,729,075 = 16,503,729,075 : x
  2. Step 2: Convert to fraction form
    7,699,357,867.50/16,503,729,075 = 16,503,729,075/x
  3. Step 3: Cross multiply
    7,699,357,867.50x = 16,503,729,075 × 16,503,729,075
  4. Step 4: Simplify right side
    7,699,357,867.50x = 272,373,073,381,000,347,648
  5. Step 5: Solve for x
    x = 272,373,073,381,000,347,648/7,699,357,867.50
  6. Step 6: Final answer
    x = 35,376,076,559.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.