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Finding the Third Proportional to 8,005,216 and 17,226,223

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Solution

The third proportional to 8,005,216 and 17,226,223 is: 37,068,676.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005,216 : 17,226,223 = 17,226,223 : x
  2. Step 2: Convert to fraction form
    8,005,216/17,226,223 = 17,226,223/x
  3. Step 3: Cross multiply
    8,005,216x = 17,226,223 × 17,226,223
  4. Step 4: Simplify right side
    8,005,216x = 296,742,758,845,729
  5. Step 5: Solve for x
    x = 296,742,758,845,729/8,005,216
  6. Step 6: Final answer
    x = 37,068,676.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.