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Finding the Third Proportional to 9,496,656 and 14,726,880

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Solution

The third proportional to 9,496,656 and 14,726,880 is: 22,837,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496,656 : 14,726,880 = 14,726,880 : x
  2. Step 2: Convert to fraction form
    9,496,656/14,726,880 = 14,726,880/x
  3. Step 3: Cross multiply
    9,496,656x = 14,726,880 × 14,726,880
  4. Step 4: Simplify right side
    9,496,656x = 216,880,994,534,400
  5. Step 5: Solve for x
    x = 216,880,994,534,400/9,496,656
  6. Step 6: Final answer
    x = 22,837,617.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.