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Finding the Third Proportional to 8,032,714.31 and 17,370,657.56

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Solution

The third proportional to 8,032,714.31 and 17,370,657.56 is: 37,563,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032,714.31 : 17,370,657.56 = 17,370,657.56 : x
  2. Step 2: Convert to fraction form
    8,032,714.31/17,370,657.56 = 17,370,657.56/x
  3. Step 3: Cross multiply
    8,032,714.31x = 17,370,657.56 × 17,370,657.56
  4. Step 4: Simplify right side
    8,032,714.31x = 301,739,744,153,638.44
  5. Step 5: Solve for x
    x = 301,739,744,153,638.44/8,032,714.31
  6. Step 6: Final answer
    x = 37,563,858.54

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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.