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Finding the Third Proportional to 356,451,853.50 and 545,274,751.50

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Solution

The third proportional to 356,451,853.50 and 545,274,751.50 is: 834,122,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,451,853.50 : 545,274,751.50 = 545,274,751.50 : x
  2. Step 2: Convert to fraction form
    356,451,853.50/545,274,751.50 = 545,274,751.50/x
  3. Step 3: Cross multiply
    356,451,853.50x = 545,274,751.50 × 545,274,751.50
  4. Step 4: Simplify right side
    356,451,853.50x = 297,324,554,623,386,752
  5. Step 5: Solve for x
    x = 297,324,554,623,386,752/356,451,853.50
  6. Step 6: Final answer
    x = 834,122,621.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.