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Finding the Third Proportional to 6,773,570 and 14,489,836

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Solution

The third proportional to 6,773,570 and 14,489,836 is: 30,996,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773,570 : 14,489,836 = 14,489,836 : x
  2. Step 2: Convert to fraction form
    6,773,570/14,489,836 = 14,489,836/x
  3. Step 3: Cross multiply
    6,773,570x = 14,489,836 × 14,489,836
  4. Step 4: Simplify right side
    6,773,570x = 209,955,347,306,896
  5. Step 5: Solve for x
    x = 209,955,347,306,896/6,773,570
  6. Step 6: Final answer
    x = 30,996,261.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.