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Finding the Third Proportional to 3,877,654 and 8,283,086

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Solution

The third proportional to 3,877,654 and 8,283,086 is: 17,693,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,654 : 8,283,086 = 8,283,086 : x
  2. Step 2: Convert to fraction form
    3,877,654/8,283,086 = 8,283,086/x
  3. Step 3: Cross multiply
    3,877,654x = 8,283,086 × 8,283,086
  4. Step 4: Simplify right side
    3,877,654x = 68,609,513,683,396
  5. Step 5: Solve for x
    x = 68,609,513,683,396/3,877,654
  6. Step 6: Final answer
    x = 17,693,562.57

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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.