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Finding the Third Proportional to 9,215,394 and 20,476,164

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Solution

The third proportional to 9,215,394 and 20,476,164 is: 45,497,055.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215,394 : 20,476,164 = 20,476,164 : x
  2. Step 2: Convert to fraction form
    9,215,394/20,476,164 = 20,476,164/x
  3. Step 3: Cross multiply
    9,215,394x = 20,476,164 × 20,476,164
  4. Step 4: Simplify right side
    9,215,394x = 419,273,292,154,896
  5. Step 5: Solve for x
    x = 419,273,292,154,896/9,215,394
  6. Step 6: Final answer
    x = 45,497,055.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.