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Finding the Third Proportional to 6,132,864 and 12,901,248

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Solution

The third proportional to 6,132,864 and 12,901,248 is: 27,139,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132,864 : 12,901,248 = 12,901,248 : x
  2. Step 2: Convert to fraction form
    6,132,864/12,901,248 = 12,901,248/x
  3. Step 3: Cross multiply
    6,132,864x = 12,901,248 × 12,901,248
  4. Step 4: Simplify right side
    6,132,864x = 166,442,199,957,504
  5. Step 5: Solve for x
    x = 166,442,199,957,504/6,132,864
  6. Step 6: Final answer
    x = 27,139,391.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.