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Finding the Third Proportional to 2,959,564 and 6,359,695

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Solution

The third proportional to 2,959,564 and 6,359,695 is: 13,666,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959,564 : 6,359,695 = 6,359,695 : x
  2. Step 2: Convert to fraction form
    2,959,564/6,359,695 = 6,359,695/x
  3. Step 3: Cross multiply
    2,959,564x = 6,359,695 × 6,359,695
  4. Step 4: Simplify right side
    2,959,564x = 40,445,720,493,025
  5. Step 5: Solve for x
    x = 40,445,720,493,025/2,959,564
  6. Step 6: Final answer
    x = 13,666,107.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.