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Finding the Third Proportional to 6,553,307 and 14,366,323

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Solution

The third proportional to 6,553,307 and 14,366,323 is: 31,494,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,307 : 14,366,323 = 14,366,323 : x
  2. Step 2: Convert to fraction form
    6,553,307/14,366,323 = 14,366,323/x
  3. Step 3: Cross multiply
    6,553,307x = 14,366,323 × 14,366,323
  4. Step 4: Simplify right side
    6,553,307x = 206,391,236,540,329
  5. Step 5: Solve for x
    x = 206,391,236,540,329/6,553,307
  6. Step 6: Final answer
    x = 31,494,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.