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Finding the Third Proportional to 12,309,140 and 26,511,292

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Solution

The third proportional to 12,309,140 and 26,511,292 is: 57,099,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309,140 : 26,511,292 = 26,511,292 : x
  2. Step 2: Convert to fraction form
    12,309,140/26,511,292 = 26,511,292/x
  3. Step 3: Cross multiply
    12,309,140x = 26,511,292 × 26,511,292
  4. Step 4: Simplify right side
    12,309,140x = 702,848,603,509,264
  5. Step 5: Solve for x
    x = 702,848,603,509,264/12,309,140
  6. Step 6: Final answer
    x = 57,099,732.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.