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Finding the Third Proportional to 7,852,488 and 11,731,824

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Solution

The third proportional to 7,852,488 and 11,731,824 is: 17,527,654.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852,488 : 11,731,824 = 11,731,824 : x
  2. Step 2: Convert to fraction form
    7,852,488/11,731,824 = 11,731,824/x
  3. Step 3: Cross multiply
    7,852,488x = 11,731,824 × 11,731,824
  4. Step 4: Simplify right side
    7,852,488x = 137,635,694,366,976
  5. Step 5: Solve for x
    x = 137,635,694,366,976/7,852,488
  6. Step 6: Final answer
    x = 17,527,654.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.