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Finding the Third Proportional to 14,152,446 and 21,206,466

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Solution

The third proportional to 14,152,446 and 21,206,466 is: 31,776,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152,446 : 21,206,466 = 21,206,466 : x
  2. Step 2: Convert to fraction form
    14,152,446/21,206,466 = 21,206,466/x
  3. Step 3: Cross multiply
    14,152,446x = 21,206,466 × 21,206,466
  4. Step 4: Simplify right side
    14,152,446x = 449,714,200,209,156
  5. Step 5: Solve for x
    x = 449,714,200,209,156/14,152,446
  6. Step 6: Final answer
    x = 31,776,429.33

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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.