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Finding the Third Proportional to 6,553,348 and 14,366,414

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Solution

The third proportional to 6,553,348 and 14,366,414 is: 31,494,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,348 : 14,366,414 = 14,366,414 : x
  2. Step 2: Convert to fraction form
    6,553,348/14,366,414 = 14,366,414/x
  3. Step 3: Cross multiply
    6,553,348x = 14,366,414 × 14,366,414
  4. Step 4: Simplify right side
    6,553,348x = 206,393,851,219,396
  5. Step 5: Solve for x
    x = 206,393,851,219,396/6,553,348
  6. Step 6: Final answer
    x = 31,494,413.42

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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.