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Finding the Third Proportional to 10,120,605 and 14,801,328

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Solution

The third proportional to 10,120,605 and 14,801,328 is: 21,646,859.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120,605 : 14,801,328 = 14,801,328 : x
  2. Step 2: Convert to fraction form
    10,120,605/14,801,328 = 14,801,328/x
  3. Step 3: Cross multiply
    10,120,605x = 14,801,328 × 14,801,328
  4. Step 4: Simplify right side
    10,120,605x = 219,079,310,563,584
  5. Step 5: Solve for x
    x = 219,079,310,563,584/10,120,605
  6. Step 6: Final answer
    x = 21,646,859.11

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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.