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Finding the Third Proportional to 21,998,000 and 32,323,400

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Solution

The third proportional to 21,998,000 and 32,323,400 is: 47,495,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,998,000 : 32,323,400 = 32,323,400 : x
  2. Step 2: Convert to fraction form
    21,998,000/32,323,400 = 32,323,400/x
  3. Step 3: Cross multiply
    21,998,000x = 32,323,400 × 32,323,400
  4. Step 4: Simplify right side
    21,998,000x = 1,044,802,187,560,000
  5. Step 5: Solve for x
    x = 1,044,802,187,560,000/21,998,000
  6. Step 6: Final answer
    x = 47,495,326.28

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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.