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Finding the Third Proportional to 4,272,369.25 and 6,105,117

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Solution

The third proportional to 4,272,369.25 and 6,105,117 is: 8,724,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272,369.25 : 6,105,117 = 6,105,117 : x
  2. Step 2: Convert to fraction form
    4,272,369.25/6,105,117 = 6,105,117/x
  3. Step 3: Cross multiply
    4,272,369.25x = 6,105,117 × 6,105,117
  4. Step 4: Simplify right side
    4,272,369.25x = 37,272,453,583,689
  5. Step 5: Solve for x
    x = 37,272,453,583,689/4,272,369.25
  6. Step 6: Final answer
    x = 8,724,071.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.