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Finding the Third Proportional to 12,957,414 and 28,355,267

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Solution

The third proportional to 12,957,414 and 28,355,267 is: 62,051,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957,414 : 28,355,267 = 28,355,267 : x
  2. Step 2: Convert to fraction form
    12,957,414/28,355,267 = 28,355,267/x
  3. Step 3: Cross multiply
    12,957,414x = 28,355,267 × 28,355,267
  4. Step 4: Simplify right side
    12,957,414x = 804,021,166,641,289
  5. Step 5: Solve for x
    x = 804,021,166,641,289/12,957,414
  6. Step 6: Final answer
    x = 62,051,051.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.