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Finding the Third Proportional to 6,393,154 and 9,655,843

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Solution

The third proportional to 6,393,154 and 9,655,843 is: 14,583,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393,154 : 9,655,843 = 9,655,843 : x
  2. Step 2: Convert to fraction form
    6,393,154/9,655,843 = 9,655,843/x
  3. Step 3: Cross multiply
    6,393,154x = 9,655,843 × 9,655,843
  4. Step 4: Simplify right side
    6,393,154x = 93,235,304,040,649
  5. Step 5: Solve for x
    x = 93,235,304,040,649/6,393,154
  6. Step 6: Final answer
    x = 14,583,616.17

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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.