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Finding the Third Proportional to 165,013,614 and 349,697,834

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Solution

The third proportional to 165,013,614 and 349,697,834 is: 741,081,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,614 : 349,697,834 = 349,697,834 : x
  2. Step 2: Convert to fraction form
    165,013,614/349,697,834 = 349,697,834/x
  3. Step 3: Cross multiply
    165,013,614x = 349,697,834 × 349,697,834
  4. Step 4: Simplify right side
    165,013,614x = 122,288,575,104,291,552
  5. Step 5: Solve for x
    x = 122,288,575,104,291,552/165,013,614
  6. Step 6: Final answer
    x = 741,081,733.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.