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Finding the Third Proportional to 10,852,137 and 16,795,886.63

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Solution

The third proportional to 10,852,137 and 16,795,886.63 is: 25,995,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852,137 : 16,795,886.63 = 16,795,886.63 : x
  2. Step 2: Convert to fraction form
    10,852,137/16,795,886.63 = 16,795,886.63/x
  3. Step 3: Cross multiply
    10,852,137x = 16,795,886.63 × 16,795,886.63
  4. Step 4: Simplify right side
    10,852,137x = 282,101,807,519,853.88
  5. Step 5: Solve for x
    x = 282,101,807,519,853.88/10,852,137
  6. Step 6: Final answer
    x = 25,995,046.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.