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Finding the Third Proportional to 7,513,886.25 and 11,414,196.38

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Solution

The third proportional to 7,513,886.25 and 11,414,196.38 is: 17,339,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513,886.25 : 11,414,196.38 = 11,414,196.38 : x
  2. Step 2: Convert to fraction form
    7,513,886.25/11,414,196.38 = 11,414,196.38/x
  3. Step 3: Cross multiply
    7,513,886.25x = 11,414,196.38 × 11,414,196.38
  4. Step 4: Simplify right side
    7,513,886.25x = 130,283,878,887,063.14
  5. Step 5: Solve for x
    x = 130,283,878,887,063.14/7,513,886.25
  6. Step 6: Final answer
    x = 17,339,080.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.