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Finding the Third Proportional to 6,433,599 and 9,801,336

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Solution

The third proportional to 6,433,599 and 9,801,336 is: 14,931,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433,599 : 9,801,336 = 9,801,336 : x
  2. Step 2: Convert to fraction form
    6,433,599/9,801,336 = 9,801,336/x
  3. Step 3: Cross multiply
    6,433,599x = 9,801,336 × 9,801,336
  4. Step 4: Simplify right side
    6,433,599x = 96,066,187,384,896
  5. Step 5: Solve for x
    x = 96,066,187,384,896/6,433,599
  6. Step 6: Final answer
    x = 14,931,951.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.