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Finding the Third Proportional to 9,162,992.38 and 13,464,007.63

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Solution

The third proportional to 9,162,992.38 and 13,464,007.63 is: 19,783,875.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,992.38 : 13,464,007.63 = 13,464,007.63 : x
  2. Step 2: Convert to fraction form
    9,162,992.38/13,464,007.63 = 13,464,007.63/x
  3. Step 3: Cross multiply
    9,162,992.38x = 13,464,007.63 × 13,464,007.63
  4. Step 4: Simplify right side
    9,162,992.38x = 181,279,501,326,058.12
  5. Step 5: Solve for x
    x = 181,279,501,326,058.12/9,162,992.38
  6. Step 6: Final answer
    x = 19,783,875.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.