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Finding the Third Proportional to 7,186,419 and 10,854,513

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Solution

The third proportional to 7,186,419 and 10,854,513 is: 16,394,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186,419 : 10,854,513 = 10,854,513 : x
  2. Step 2: Convert to fraction form
    7,186,419/10,854,513 = 10,854,513/x
  3. Step 3: Cross multiply
    7,186,419x = 10,854,513 × 10,854,513
  4. Step 4: Simplify right side
    7,186,419x = 117,820,452,467,169
  5. Step 5: Solve for x
    x = 117,820,452,467,169/7,186,419
  6. Step 6: Final answer
    x = 16,394,876.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.