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Finding the Third Proportional to 2,537,212.50 and 5,323,536

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Solution

The third proportional to 2,537,212.50 and 5,323,536 is: 11,169,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,212.50 : 5,323,536 = 5,323,536 : x
  2. Step 2: Convert to fraction form
    2,537,212.50/5,323,536 = 5,323,536/x
  3. Step 3: Cross multiply
    2,537,212.50x = 5,323,536 × 5,323,536
  4. Step 4: Simplify right side
    2,537,212.50x = 28,340,035,543,296
  5. Step 5: Solve for x
    x = 28,340,035,543,296/2,537,212.50
  6. Step 6: Final answer
    x = 11,169,752.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.