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Finding the Third Proportional to 6,590,175 and 9,861,395

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Solution

The third proportional to 6,590,175 and 9,861,395 is: 14,756,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,175 : 9,861,395 = 9,861,395 : x
  2. Step 2: Convert to fraction form
    6,590,175/9,861,395 = 9,861,395/x
  3. Step 3: Cross multiply
    6,590,175x = 9,861,395 × 9,861,395
  4. Step 4: Simplify right side
    6,590,175x = 97,247,111,346,025
  5. Step 5: Solve for x
    x = 97,247,111,346,025/6,590,175
  6. Step 6: Final answer
    x = 14,756,377.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.