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Finding the Third Proportional to 9,629,508 and 19,595,316

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Solution

The third proportional to 9,629,508 and 19,595,316 is: 39,874,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,629,508 : 19,595,316 = 19,595,316 : x
  2. Step 2: Convert to fraction form
    9,629,508/19,595,316 = 19,595,316/x
  3. Step 3: Cross multiply
    9,629,508x = 19,595,316 × 19,595,316
  4. Step 4: Simplify right side
    9,629,508x = 383,976,409,139,856
  5. Step 5: Solve for x
    x = 383,976,409,139,856/9,629,508
  6. Step 6: Final answer
    x = 39,874,976.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.