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Finding the Third Proportional to 7,696,419 and 16,732,479

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Solution

The third proportional to 7,696,419 and 16,732,479 is: 36,377,418.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,419 : 16,732,479 = 16,732,479 : x
  2. Step 2: Convert to fraction form
    7,696,419/16,732,479 = 16,732,479/x
  3. Step 3: Cross multiply
    7,696,419x = 16,732,479 × 16,732,479
  4. Step 4: Simplify right side
    7,696,419x = 279,975,853,485,441
  5. Step 5: Solve for x
    x = 279,975,853,485,441/7,696,419
  6. Step 6: Final answer
    x = 36,377,418.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.