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Finding the Third Proportional to 9,286,684 and 19,513,400

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Solution

The third proportional to 9,286,684 and 19,513,400 is: 41,002,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286,684 : 19,513,400 = 19,513,400 : x
  2. Step 2: Convert to fraction form
    9,286,684/19,513,400 = 19,513,400/x
  3. Step 3: Cross multiply
    9,286,684x = 19,513,400 × 19,513,400
  4. Step 4: Simplify right side
    9,286,684x = 380,772,779,560,000
  5. Step 5: Solve for x
    x = 380,772,779,560,000/9,286,684
  6. Step 6: Final answer
    x = 41,002,017.47

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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.