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Finding the Third Proportional to 14,966,814 and 21,890,349

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Solution

The third proportional to 14,966,814 and 21,890,349 is: 32,016,658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966,814 : 21,890,349 = 21,890,349 : x
  2. Step 2: Convert to fraction form
    14,966,814/21,890,349 = 21,890,349/x
  3. Step 3: Cross multiply
    14,966,814x = 21,890,349 × 21,890,349
  4. Step 4: Simplify right side
    14,966,814x = 479,187,379,341,801
  5. Step 5: Solve for x
    x = 479,187,379,341,801/14,966,814
  6. Step 6: Final answer
    x = 32,016,658.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.