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Finding the Third Proportional to 3,740,909.06 and 5,638,128.71

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Solution

The third proportional to 3,740,909.06 and 5,638,128.71 is: 8,497,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740,909.06 : 5,638,128.71 = 5,638,128.71 : x
  2. Step 2: Convert to fraction form
    3,740,909.06/5,638,128.71 = 5,638,128.71/x
  3. Step 3: Cross multiply
    3,740,909.06x = 5,638,128.71 × 5,638,128.71
  4. Step 4: Simplify right side
    3,740,909.06x = 31,788,495,405,146.20
  5. Step 5: Solve for x
    x = 31,788,495,405,146.20/3,740,909.06
  6. Step 6: Final answer
    x = 8,497,532.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.