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Finding the Third Proportional to 5,996,588 and 9,211,492

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Solution

The third proportional to 5,996,588 and 9,211,492 is: 14,149,977.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996,588 : 9,211,492 = 9,211,492 : x
  2. Step 2: Convert to fraction form
    5,996,588/9,211,492 = 9,211,492/x
  3. Step 3: Cross multiply
    5,996,588x = 9,211,492 × 9,211,492
  4. Step 4: Simplify right side
    5,996,588x = 84,851,584,866,064
  5. Step 5: Solve for x
    x = 84,851,584,866,064/5,996,588
  6. Step 6: Final answer
    x = 14,149,977.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.