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Finding the Third Proportional to 7,201,038 and 16,998,734

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Solution

The third proportional to 7,201,038 and 16,998,734 is: 40,127,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201,038 : 16,998,734 = 16,998,734 : x
  2. Step 2: Convert to fraction form
    7,201,038/16,998,734 = 16,998,734/x
  3. Step 3: Cross multiply
    7,201,038x = 16,998,734 × 16,998,734
  4. Step 4: Simplify right side
    7,201,038x = 288,956,957,602,756
  5. Step 5: Solve for x
    x = 288,956,957,602,756/7,201,038
  6. Step 6: Final answer
    x = 40,127,125.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.