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Finding the Third Proportional to 349,253,571 and 536,827,764

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Solution

The third proportional to 349,253,571 and 536,827,764 is: 825,142,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,253,571 : 536,827,764 = 536,827,764 : x
  2. Step 2: Convert to fraction form
    349,253,571/536,827,764 = 536,827,764/x
  3. Step 3: Cross multiply
    349,253,571x = 536,827,764 × 536,827,764
  4. Step 4: Simplify right side
    349,253,571x = 288,184,048,201,239,680
  5. Step 5: Solve for x
    x = 288,184,048,201,239,680/349,253,571
  6. Step 6: Final answer
    x = 825,142,739.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.