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Finding the Third Proportional to 9,476,746 and 13,859,700

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Solution

The third proportional to 9,476,746 and 13,859,700 is: 20,269,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476,746 : 13,859,700 = 13,859,700 : x
  2. Step 2: Convert to fraction form
    9,476,746/13,859,700 = 13,859,700/x
  3. Step 3: Cross multiply
    9,476,746x = 13,859,700 × 13,859,700
  4. Step 4: Simplify right side
    9,476,746x = 192,091,284,090,000
  5. Step 5: Solve for x
    x = 192,091,284,090,000/9,476,746
  6. Step 6: Final answer
    x = 20,269,751.25

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