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Finding the Third Proportional to 21,473,868 and 32,523,381

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Solution

The third proportional to 21,473,868 and 32,523,381 is: 49,258,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,473,868 : 32,523,381 = 32,523,381 : x
  2. Step 2: Convert to fraction form
    21,473,868/32,523,381 = 32,523,381/x
  3. Step 3: Cross multiply
    21,473,868x = 32,523,381 × 32,523,381
  4. Step 4: Simplify right side
    21,473,868x = 1,057,770,311,671,161
  5. Step 5: Solve for x
    x = 1,057,770,311,671,161/21,473,868
  6. Step 6: Final answer
    x = 49,258,489.98

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Why These Related Problems?

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