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Finding the Third Proportional to 10,516,872.94 and 15,733,278

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Solution

The third proportional to 10,516,872.94 and 15,733,278 is: 23,537,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516,872.94 : 15,733,278 = 15,733,278 : x
  2. Step 2: Convert to fraction form
    10,516,872.94/15,733,278 = 15,733,278/x
  3. Step 3: Cross multiply
    10,516,872.94x = 15,733,278 × 15,733,278
  4. Step 4: Simplify right side
    10,516,872.94x = 247,536,036,625,284
  5. Step 5: Solve for x
    x = 247,536,036,625,284/10,516,872.94
  6. Step 6: Final answer
    x = 23,537,037.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.