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Finding the Third Proportional to 6,766,500 and 14,589,294

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Solution

The third proportional to 6,766,500 and 14,589,294 is: 31,456,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,500 : 14,589,294 = 14,589,294 : x
  2. Step 2: Convert to fraction form
    6,766,500/14,589,294 = 14,589,294/x
  3. Step 3: Cross multiply
    6,766,500x = 14,589,294 × 14,589,294
  4. Step 4: Simplify right side
    6,766,500x = 212,847,499,418,436
  5. Step 5: Solve for x
    x = 212,847,499,418,436/6,766,500
  6. Step 6: Final answer
    x = 31,456,070.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.