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Finding the Third Proportional to 6,426,690 and 9,393,735

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Solution

The third proportional to 6,426,690 and 9,393,735 is: 13,730,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426,690 : 9,393,735 = 9,393,735 : x
  2. Step 2: Convert to fraction form
    6,426,690/9,393,735 = 9,393,735/x
  3. Step 3: Cross multiply
    6,426,690x = 9,393,735 × 9,393,735
  4. Step 4: Simplify right side
    6,426,690x = 88,242,257,250,225
  5. Step 5: Solve for x
    x = 88,242,257,250,225/6,426,690
  6. Step 6: Final answer
    x = 13,730,591.84

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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.