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Finding the Third Proportional to 6,858,857 and 10,030,803

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Solution

The third proportional to 6,858,857 and 10,030,803 is: 14,669,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858,857 : 10,030,803 = 10,030,803 : x
  2. Step 2: Convert to fraction form
    6,858,857/10,030,803 = 10,030,803/x
  3. Step 3: Cross multiply
    6,858,857x = 10,030,803 × 10,030,803
  4. Step 4: Simplify right side
    6,858,857x = 100,617,008,824,809
  5. Step 5: Solve for x
    x = 100,617,008,824,809/6,858,857
  6. Step 6: Final answer
    x = 14,669,646.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.