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Finding the Third Proportional to 165,013,612 and 349,697,830

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Solution

The third proportional to 165,013,612 and 349,697,830 is: 741,081,725.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,612 : 349,697,830 = 349,697,830 : x
  2. Step 2: Convert to fraction form
    165,013,612/349,697,830 = 349,697,830/x
  3. Step 3: Cross multiply
    165,013,612x = 349,697,830 × 349,697,830
  4. Step 4: Simplify right side
    165,013,612x = 122,288,572,306,708,896
  5. Step 5: Solve for x
    x = 122,288,572,306,708,896/165,013,612
  6. Step 6: Final answer
    x = 741,081,725.47

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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.