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Finding the Third Proportional to 5,456,924.25 and 9,094,325.63

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Solution

The third proportional to 5,456,924.25 and 9,094,325.63 is: 15,156,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456,924.25 : 9,094,325.63 = 9,094,325.63 : x
  2. Step 2: Convert to fraction form
    5,456,924.25/9,094,325.63 = 9,094,325.63/x
  3. Step 3: Cross multiply
    5,456,924.25x = 9,094,325.63 × 9,094,325.63
  4. Step 4: Simplify right side
    5,456,924.25x = 82,706,758,573,531.64
  5. Step 5: Solve for x
    x = 82,706,758,573,531.64/5,456,924.25
  6. Step 6: Final answer
    x = 15,156,295.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.