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Finding the Third Proportional to 349,163,502 and 525,203,011

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Solution

The third proportional to 349,163,502 and 525,203,011 is: 789,997,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,163,502 : 525,203,011 = 525,203,011 : x
  2. Step 2: Convert to fraction form
    349,163,502/525,203,011 = 525,203,011/x
  3. Step 3: Cross multiply
    349,163,502x = 525,203,011 × 525,203,011
  4. Step 4: Simplify right side
    349,163,502x = 275,838,202,763,466,112
  5. Step 5: Solve for x
    x = 275,838,202,763,466,112/349,163,502
  6. Step 6: Final answer
    x = 789,997,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.