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Finding the Third Proportional to 8,137,536 and 11,957,184

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Solution

The third proportional to 8,137,536 and 11,957,184 is: 17,569,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137,536 : 11,957,184 = 11,957,184 : x
  2. Step 2: Convert to fraction form
    8,137,536/11,957,184 = 11,957,184/x
  3. Step 3: Cross multiply
    8,137,536x = 11,957,184 × 11,957,184
  4. Step 4: Simplify right side
    8,137,536x = 142,974,249,209,856
  5. Step 5: Solve for x
    x = 142,974,249,209,856/8,137,536
  6. Step 6: Final answer
    x = 17,569,722.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.