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Finding the Third Proportional to 7,606,675 and 16,706,342

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Solution

The third proportional to 7,606,675 and 16,706,342 is: 36,691,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606,675 : 16,706,342 = 16,706,342 : x
  2. Step 2: Convert to fraction form
    7,606,675/16,706,342 = 16,706,342/x
  3. Step 3: Cross multiply
    7,606,675x = 16,706,342 × 16,706,342
  4. Step 4: Simplify right side
    7,606,675x = 279,101,863,020,964
  5. Step 5: Solve for x
    x = 279,101,863,020,964/7,606,675
  6. Step 6: Final answer
    x = 36,691,703.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.