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Finding the Third Proportional to 2,537,422 and 5,495,568.50

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Solution

The third proportional to 2,537,422 and 5,495,568.50 is: 11,902,345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,422 : 5,495,568.50 = 5,495,568.50 : x
  2. Step 2: Convert to fraction form
    2,537,422/5,495,568.50 = 5,495,568.50/x
  3. Step 3: Cross multiply
    2,537,422x = 5,495,568.50 × 5,495,568.50
  4. Step 4: Simplify right side
    2,537,422x = 30,201,273,138,192.25
  5. Step 5: Solve for x
    x = 30,201,273,138,192.25/2,537,422
  6. Step 6: Final answer
    x = 11,902,345.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.