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Finding the Third Proportional to 165,013,578 and 349,697,736

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Solution

The third proportional to 165,013,578 and 349,697,736 is: 741,081,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,578 : 349,697,736 = 349,697,736 : x
  2. Step 2: Convert to fraction form
    165,013,578/349,697,736 = 349,697,736/x
  3. Step 3: Cross multiply
    165,013,578x = 349,697,736 × 349,697,736
  4. Step 4: Simplify right side
    165,013,578x = 122,288,506,563,525,696
  5. Step 5: Solve for x
    x = 122,288,506,563,525,696/165,013,578
  6. Step 6: Final answer
    x = 741,081,479.75

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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.