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Finding the Third Proportional to 7,874,696.25 and 16,295,602.50

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Solution

The third proportional to 7,874,696.25 and 16,295,602.50 is: 33,721,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,696.25 : 16,295,602.50 = 16,295,602.50 : x
  2. Step 2: Convert to fraction form
    7,874,696.25/16,295,602.50 = 16,295,602.50/x
  3. Step 3: Cross multiply
    7,874,696.25x = 16,295,602.50 × 16,295,602.50
  4. Step 4: Simplify right side
    7,874,696.25x = 265,546,660,838,006.25
  5. Step 5: Solve for x
    x = 265,546,660,838,006.25/7,874,696.25
  6. Step 6: Final answer
    x = 33,721,511.59

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.