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Finding the Third Proportional to 10,601,294 and 16,210,257

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Solution

The third proportional to 10,601,294 and 16,210,257 is: 24,786,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601,294 : 16,210,257 = 16,210,257 : x
  2. Step 2: Convert to fraction form
    10,601,294/16,210,257 = 16,210,257/x
  3. Step 3: Cross multiply
    10,601,294x = 16,210,257 × 16,210,257
  4. Step 4: Simplify right side
    10,601,294x = 262,772,432,006,049
  5. Step 5: Solve for x
    x = 262,772,432,006,049/10,601,294
  6. Step 6: Final answer
    x = 24,786,826.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.