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Finding the Third Proportional to 2,531,564 and 5,157,124

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Solution

The third proportional to 2,531,564 and 5,157,124 is: 10,505,730.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531,564 : 5,157,124 = 5,157,124 : x
  2. Step 2: Convert to fraction form
    2,531,564/5,157,124 = 5,157,124/x
  3. Step 3: Cross multiply
    2,531,564x = 5,157,124 × 5,157,124
  4. Step 4: Simplify right side
    2,531,564x = 26,595,927,951,376
  5. Step 5: Solve for x
    x = 26,595,927,951,376/2,531,564
  6. Step 6: Final answer
    x = 10,505,730.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.