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Finding the Third Proportional to 165,013,614 and 349,697,835

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Solution

The third proportional to 165,013,614 and 349,697,835 is: 741,081,737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,614 : 349,697,835 = 349,697,835 : x
  2. Step 2: Convert to fraction form
    165,013,614/349,697,835 = 349,697,835/x
  3. Step 3: Cross multiply
    165,013,614x = 349,697,835 × 349,697,835
  4. Step 4: Simplify right side
    165,013,614x = 122,288,575,803,687,232
  5. Step 5: Solve for x
    x = 122,288,575,803,687,232/165,013,614
  6. Step 6: Final answer
    x = 741,081,737.68

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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.