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Finding the Third Proportional to 7,476,648 and 16,337,120

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Solution

The third proportional to 7,476,648 and 16,337,120 is: 35,698,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476,648 : 16,337,120 = 16,337,120 : x
  2. Step 2: Convert to fraction form
    7,476,648/16,337,120 = 16,337,120/x
  3. Step 3: Cross multiply
    7,476,648x = 16,337,120 × 16,337,120
  4. Step 4: Simplify right side
    7,476,648x = 266,901,489,894,400
  5. Step 5: Solve for x
    x = 266,901,489,894,400/7,476,648
  6. Step 6: Final answer
    x = 35,698,014.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.