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Finding the Third Proportional to 3,217,037,526 and 6,942,193,884

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Solution

The third proportional to 3,217,037,526 and 6,942,193,884 is: 14,980,880,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,037,526 : 6,942,193,884 = 6,942,193,884 : x
  2. Step 2: Convert to fraction form
    3,217,037,526/6,942,193,884 = 6,942,193,884/x
  3. Step 3: Cross multiply
    3,217,037,526x = 6,942,193,884 × 6,942,193,884
  4. Step 4: Simplify right side
    3,217,037,526x = 48,194,055,923,047,006,208
  5. Step 5: Solve for x
    x = 48,194,055,923,047,006,208/3,217,037,526
  6. Step 6: Final answer
    x = 14,980,880,867.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.