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Finding the Third Proportional to 6,965,498 and 10,763,471

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Solution

The third proportional to 6,965,498 and 10,763,471 is: 16,632,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,498 : 10,763,471 = 10,763,471 : x
  2. Step 2: Convert to fraction form
    6,965,498/10,763,471 = 10,763,471/x
  3. Step 3: Cross multiply
    6,965,498x = 10,763,471 × 10,763,471
  4. Step 4: Simplify right side
    6,965,498x = 115,852,307,967,841
  5. Step 5: Solve for x
    x = 115,852,307,967,841/6,965,498
  6. Step 6: Final answer
    x = 16,632,307.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.