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Finding the Third Proportional to 3,217,037,535 and 6,942,193,902

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Solution

The third proportional to 3,217,037,535 and 6,942,193,902 is: 14,980,880,903.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217,037,535 : 6,942,193,902 = 6,942,193,902 : x
  2. Step 2: Convert to fraction form
    3,217,037,535/6,942,193,902 = 6,942,193,902/x
  3. Step 3: Cross multiply
    3,217,037,535x = 6,942,193,902 × 6,942,193,902
  4. Step 4: Simplify right side
    3,217,037,535x = 48,194,056,172,965,986,304
  5. Step 5: Solve for x
    x = 48,194,056,172,965,986,304/3,217,037,535
  6. Step 6: Final answer
    x = 14,980,880,903.20

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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.