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Finding the Third Proportional to 435,521,953.50 and 665,780,738.25

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Solution

The third proportional to 435,521,953.50 and 665,780,738.25 is: 1,017,776,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,521,953.50 : 665,780,738.25 = 665,780,738.25 : x
  2. Step 2: Convert to fraction form
    435,521,953.50/665,780,738.25 = 665,780,738.25/x
  3. Step 3: Cross multiply
    435,521,953.50x = 665,780,738.25 × 665,780,738.25
  4. Step 4: Simplify right side
    435,521,953.50x = 443,263,991,424,715,008
  5. Step 5: Solve for x
    x = 443,263,991,424,715,008/435,521,953.50
  6. Step 6: Final answer
    x = 1,017,776,458.48

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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.