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Finding the Third Proportional to 9,286,687 and 19,513,405

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Solution

The third proportional to 9,286,687 and 19,513,405 is: 41,002,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286,687 : 19,513,405 = 19,513,405 : x
  2. Step 2: Convert to fraction form
    9,286,687/19,513,405 = 19,513,405/x
  3. Step 3: Cross multiply
    9,286,687x = 19,513,405 × 19,513,405
  4. Step 4: Simplify right side
    9,286,687x = 380,772,974,694,025
  5. Step 5: Solve for x
    x = 380,772,974,694,025/9,286,687
  6. Step 6: Final answer
    x = 41,002,025.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.