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Finding the Third Proportional to 6,645,034.13 and 10,850,675.63

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Solution

The third proportional to 6,645,034.13 and 10,850,675.63 is: 17,718,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645,034.13 : 10,850,675.63 = 10,850,675.63 : x
  2. Step 2: Convert to fraction form
    6,645,034.13/10,850,675.63 = 10,850,675.63/x
  3. Step 3: Cross multiply
    6,645,034.13x = 10,850,675.63 × 10,850,675.63
  4. Step 4: Simplify right side
    6,645,034.13x = 117,737,161,518,969.14
  5. Step 5: Solve for x
    x = 117,737,161,518,969.14/6,645,034.13
  6. Step 6: Final answer
    x = 17,718,067.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.