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Finding the Third Proportional to 11,834,650 and 16,037,368

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Solution

The third proportional to 11,834,650 and 16,037,368 is: 21,732,554.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834,650 : 16,037,368 = 16,037,368 : x
  2. Step 2: Convert to fraction form
    11,834,650/16,037,368 = 16,037,368/x
  3. Step 3: Cross multiply
    11,834,650x = 16,037,368 × 16,037,368
  4. Step 4: Simplify right side
    11,834,650x = 257,197,172,367,424
  5. Step 5: Solve for x
    x = 257,197,172,367,424/11,834,650
  6. Step 6: Final answer
    x = 21,732,554.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.