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Finding the Third Proportional to 6,497,650 and 10,100,855

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Solution

The third proportional to 6,497,650 and 10,100,855 is: 15,702,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,650 : 10,100,855 = 10,100,855 : x
  2. Step 2: Convert to fraction form
    6,497,650/10,100,855 = 10,100,855/x
  3. Step 3: Cross multiply
    6,497,650x = 10,100,855 × 10,100,855
  4. Step 4: Simplify right side
    6,497,650x = 102,027,271,731,025
  5. Step 5: Solve for x
    x = 102,027,271,731,025/6,497,650
  6. Step 6: Final answer
    x = 15,702,180.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.