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Finding the Third Proportional to 21,976,096 and 32,306,406

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Solution

The third proportional to 21,976,096 and 32,306,406 is: 47,492,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976,096 : 32,306,406 = 32,306,406 : x
  2. Step 2: Convert to fraction form
    21,976,096/32,306,406 = 32,306,406/x
  3. Step 3: Cross multiply
    21,976,096x = 32,306,406 × 32,306,406
  4. Step 4: Simplify right side
    21,976,096x = 1,043,703,868,636,836
  5. Step 5: Solve for x
    x = 1,043,703,868,636,836/21,976,096
  6. Step 6: Final answer
    x = 47,492,687.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.