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Finding the Third Proportional to 2,509,212 and 5,342,095.50

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Solution

The third proportional to 2,509,212 and 5,342,095.50 is: 11,373,285.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,212 : 5,342,095.50 = 5,342,095.50 : x
  2. Step 2: Convert to fraction form
    2,509,212/5,342,095.50 = 5,342,095.50/x
  3. Step 3: Cross multiply
    2,509,212x = 5,342,095.50 × 5,342,095.50
  4. Step 4: Simplify right side
    2,509,212x = 28,537,984,331,120.25
  5. Step 5: Solve for x
    x = 28,537,984,331,120.25/2,509,212
  6. Step 6: Final answer
    x = 11,373,285.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.