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Finding the Third Proportional to 5,211,709 and 7,858,575

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Solution

The third proportional to 5,211,709 and 7,858,575 is: 11,849,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211,709 : 7,858,575 = 7,858,575 : x
  2. Step 2: Convert to fraction form
    5,211,709/7,858,575 = 7,858,575/x
  3. Step 3: Cross multiply
    5,211,709x = 7,858,575 × 7,858,575
  4. Step 4: Simplify right side
    5,211,709x = 61,757,201,030,625
  5. Step 5: Solve for x
    x = 61,757,201,030,625/5,211,709
  6. Step 6: Final answer
    x = 11,849,702.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.