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Finding the Third Proportional to 6,553,300 and 14,366,314

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Solution

The third proportional to 6,553,300 and 14,366,314 is: 31,494,205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,300 : 14,366,314 = 14,366,314 : x
  2. Step 2: Convert to fraction form
    6,553,300/14,366,314 = 14,366,314/x
  3. Step 3: Cross multiply
    6,553,300x = 14,366,314 × 14,366,314
  4. Step 4: Simplify right side
    6,553,300x = 206,390,977,946,596
  5. Step 5: Solve for x
    x = 206,390,977,946,596/6,553,300
  6. Step 6: Final answer
    x = 31,494,205.66

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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.