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Finding the Third Proportional to 6,393,727 and 13,699,432

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Solution

The third proportional to 6,393,727 and 13,699,432 is: 29,352,901.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,727 : 13,699,432 = 13,699,432 : x
  2. Step 2: Convert to fraction form
    6,393,727/13,699,432 = 13,699,432/x
  3. Step 3: Cross multiply
    6,393,727x = 13,699,432 × 13,699,432
  4. Step 4: Simplify right side
    6,393,727x = 187,674,437,122,624
  5. Step 5: Solve for x
    x = 187,674,437,122,624/6,393,727
  6. Step 6: Final answer
    x = 29,352,901.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.