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Finding the Third Proportional to 9,732,104 and 14,228,364

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Solution

The third proportional to 9,732,104 and 14,228,364 is: 20,801,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,104 : 14,228,364 = 14,228,364 : x
  2. Step 2: Convert to fraction form
    9,732,104/14,228,364 = 14,228,364/x
  3. Step 3: Cross multiply
    9,732,104x = 14,228,364 × 14,228,364
  4. Step 4: Simplify right side
    9,732,104x = 202,446,342,116,496
  5. Step 5: Solve for x
    x = 202,446,342,116,496/9,732,104
  6. Step 6: Final answer
    x = 20,801,909.03

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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.