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Finding the Third Proportional to 12,884,626 and 27,613,645

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Solution

The third proportional to 12,884,626 and 27,613,645 is: 59,180,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884,626 : 27,613,645 = 27,613,645 : x
  2. Step 2: Convert to fraction form
    12,884,626/27,613,645 = 27,613,645/x
  3. Step 3: Cross multiply
    12,884,626x = 27,613,645 × 27,613,645
  4. Step 4: Simplify right side
    12,884,626x = 762,513,390,186,025
  5. Step 5: Solve for x
    x = 762,513,390,186,025/12,884,626
  6. Step 6: Final answer
    x = 59,180,094.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.