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Finding the Third Proportional to 9,169,964 and 19,084,188

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Solution

The third proportional to 9,169,964 and 19,084,188 is: 39,717,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169,964 : 19,084,188 = 19,084,188 : x
  2. Step 2: Convert to fraction form
    9,169,964/19,084,188 = 19,084,188/x
  3. Step 3: Cross multiply
    9,169,964x = 19,084,188 × 19,084,188
  4. Step 4: Simplify right side
    9,169,964x = 364,206,231,619,344
  5. Step 5: Solve for x
    x = 364,206,231,619,344/9,169,964
  6. Step 6: Final answer
    x = 39,717,302.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.