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Finding the Third Proportional to 12,119,150.25 and 25,917,916.50

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Solution

The third proportional to 12,119,150.25 and 25,917,916.50 is: 55,427,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119,150.25 : 25,917,916.50 = 25,917,916.50 : x
  2. Step 2: Convert to fraction form
    12,119,150.25/25,917,916.50 = 25,917,916.50/x
  3. Step 3: Cross multiply
    12,119,150.25x = 25,917,916.50 × 25,917,916.50
  4. Step 4: Simplify right side
    12,119,150.25x = 671,738,395,700,972.25
  5. Step 5: Solve for x
    x = 671,738,395,700,972.25/12,119,150.25
  6. Step 6: Final answer
    x = 55,427,846.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.