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Finding the Third Proportional to 9,013,848 and 19,100,420

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Solution

The third proportional to 9,013,848 and 19,100,420 is: 40,473,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013,848 : 19,100,420 = 19,100,420 : x
  2. Step 2: Convert to fraction form
    9,013,848/19,100,420 = 19,100,420/x
  3. Step 3: Cross multiply
    9,013,848x = 19,100,420 × 19,100,420
  4. Step 4: Simplify right side
    9,013,848x = 364,826,044,176,400
  5. Step 5: Solve for x
    x = 364,826,044,176,400/9,013,848
  6. Step 6: Final answer
    x = 40,473,951.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.