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Finding the Third Proportional to 3,495,729.09 and 8,240,405.63

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Solution

The third proportional to 3,495,729.09 and 8,240,405.63 is: 19,424,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495,729.09 : 8,240,405.63 = 8,240,405.63 : x
  2. Step 2: Convert to fraction form
    3,495,729.09/8,240,405.63 = 8,240,405.63/x
  3. Step 3: Cross multiply
    3,495,729.09x = 8,240,405.63 × 8,240,405.63
  4. Step 4: Simplify right side
    3,495,729.09x = 67,904,284,864,531.64
  5. Step 5: Solve for x
    x = 67,904,284,864,531.64/3,495,729.09
  6. Step 6: Final answer
    x = 19,424,927.69

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.