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Finding the Third Proportional to 7,735,521 and 16,106,754

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Solution

The third proportional to 7,735,521 and 16,106,754 is: 33,537,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735,521 : 16,106,754 = 16,106,754 : x
  2. Step 2: Convert to fraction form
    7,735,521/16,106,754 = 16,106,754/x
  3. Step 3: Cross multiply
    7,735,521x = 16,106,754 × 16,106,754
  4. Step 4: Simplify right side
    7,735,521x = 259,427,524,416,516
  5. Step 5: Solve for x
    x = 259,427,524,416,516/7,735,521
  6. Step 6: Final answer
    x = 33,537,175.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.