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Finding the Third Proportional to 9,311,382 and 14,365,634

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Solution

The third proportional to 9,311,382 and 14,365,634 is: 22,163,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311,382 : 14,365,634 = 14,365,634 : x
  2. Step 2: Convert to fraction form
    9,311,382/14,365,634 = 14,365,634/x
  3. Step 3: Cross multiply
    9,311,382x = 14,365,634 × 14,365,634
  4. Step 4: Simplify right side
    9,311,382x = 206,371,440,221,956
  5. Step 5: Solve for x
    x = 206,371,440,221,956/9,311,382
  6. Step 6: Final answer
    x = 22,163,352.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.