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Finding the Third Proportional to 12,031,298.50 and 25,054,037

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Solution

The third proportional to 12,031,298.50 and 25,054,037 is: 52,172,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031,298.50 : 25,054,037 = 25,054,037 : x
  2. Step 2: Convert to fraction form
    12,031,298.50/25,054,037 = 25,054,037/x
  3. Step 3: Cross multiply
    12,031,298.50x = 25,054,037 × 25,054,037
  4. Step 4: Simplify right side
    12,031,298.50x = 627,704,769,997,369
  5. Step 5: Solve for x
    x = 627,704,769,997,369/12,031,298.50
  6. Step 6: Final answer
    x = 52,172,653.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.