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Finding the Third Proportional to 12,428,967.38 and 26,584,979.63

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Solution

The third proportional to 12,428,967.38 and 26,584,979.63 is: 56,864,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428,967.38 : 26,584,979.63 = 26,584,979.63 : x
  2. Step 2: Convert to fraction form
    12,428,967.38/26,584,979.63 = 26,584,979.63/x
  3. Step 3: Cross multiply
    12,428,967.38x = 26,584,979.63 × 26,584,979.63
  4. Step 4: Simplify right side
    12,428,967.38x = 706,761,141,661,665.12
  5. Step 5: Solve for x
    x = 706,761,141,661,665.12/12,428,967.38
  6. Step 6: Final answer
    x = 56,864,027.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.