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Finding the Third Proportional to 7,877,684 and 17,099,833

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Solution

The third proportional to 7,877,684 and 17,099,833 is: 37,118,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877,684 : 17,099,833 = 17,099,833 : x
  2. Step 2: Convert to fraction form
    7,877,684/17,099,833 = 17,099,833/x
  3. Step 3: Cross multiply
    7,877,684x = 17,099,833 × 17,099,833
  4. Step 4: Simplify right side
    7,877,684x = 292,404,288,627,889
  5. Step 5: Solve for x
    x = 292,404,288,627,889/7,877,684
  6. Step 6: Final answer
    x = 37,118,052.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.