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Finding the Third Proportional to 2,537,730 and 5,493,636

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Solution

The third proportional to 2,537,730 and 5,493,636 is: 11,892,532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,730 : 5,493,636 = 5,493,636 : x
  2. Step 2: Convert to fraction form
    2,537,730/5,493,636 = 5,493,636/x
  3. Step 3: Cross multiply
    2,537,730x = 5,493,636 × 5,493,636
  4. Step 4: Simplify right side
    2,537,730x = 30,180,036,500,496
  5. Step 5: Solve for x
    x = 30,180,036,500,496/2,537,730
  6. Step 6: Final answer
    x = 11,892,532.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.