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Finding the Third Proportional to 9,732,096 and 14,228,352

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Solution

The third proportional to 9,732,096 and 14,228,352 is: 20,801,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,096 : 14,228,352 = 14,228,352 : x
  2. Step 2: Convert to fraction form
    9,732,096/14,228,352 = 14,228,352/x
  3. Step 3: Cross multiply
    9,732,096x = 14,228,352 × 14,228,352
  4. Step 4: Simplify right side
    9,732,096x = 202,446,000,635,904
  5. Step 5: Solve for x
    x = 202,446,000,635,904/9,732,096
  6. Step 6: Final answer
    x = 20,801,891.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.