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Finding the Third Proportional to 6,333,700 and 9,554,694

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Solution

The third proportional to 6,333,700 and 9,554,694 is: 14,413,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333,700 : 9,554,694 = 9,554,694 : x
  2. Step 2: Convert to fraction form
    6,333,700/9,554,694 = 9,554,694/x
  3. Step 3: Cross multiply
    6,333,700x = 9,554,694 × 9,554,694
  4. Step 4: Simplify right side
    6,333,700x = 91,292,177,433,636
  5. Step 5: Solve for x
    x = 91,292,177,433,636/6,333,700
  6. Step 6: Final answer
    x = 14,413,719.85

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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.