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Finding the Third Proportional to 4,114,862 and 9,044,206

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Solution

The third proportional to 4,114,862 and 9,044,206 is: 19,878,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114,862 : 9,044,206 = 9,044,206 : x
  2. Step 2: Convert to fraction form
    4,114,862/9,044,206 = 9,044,206/x
  3. Step 3: Cross multiply
    4,114,862x = 9,044,206 × 9,044,206
  4. Step 4: Simplify right side
    4,114,862x = 81,797,662,170,436
  5. Step 5: Solve for x
    x = 81,797,662,170,436/4,114,862
  6. Step 6: Final answer
    x = 19,878,591.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.