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Finding the Third Proportional to 12,142,144 and 25,857,368

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Solution

The third proportional to 12,142,144 and 25,857,368 is: 55,064,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142,144 : 25,857,368 = 25,857,368 : x
  2. Step 2: Convert to fraction form
    12,142,144/25,857,368 = 25,857,368/x
  3. Step 3: Cross multiply
    12,142,144x = 25,857,368 × 25,857,368
  4. Step 4: Simplify right side
    12,142,144x = 668,603,479,887,424
  5. Step 5: Solve for x
    x = 668,603,479,887,424/12,142,144
  6. Step 6: Final answer
    x = 55,064,696.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.