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Finding the Third Proportional to 364,660,750.50 and 798,481,002.50

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Solution

The third proportional to 364,660,750.50 and 798,481,002.50 is: 1,748,397,409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,660,750.50 : 798,481,002.50 = 798,481,002.50 : x
  2. Step 2: Convert to fraction form
    364,660,750.50/798,481,002.50 = 798,481,002.50/x
  3. Step 3: Cross multiply
    364,660,750.50x = 798,481,002.50 × 798,481,002.50
  4. Step 4: Simplify right side
    364,660,750.50x = 637,571,911,353,405,056
  5. Step 5: Solve for x
    x = 637,571,911,353,405,056/364,660,750.50
  6. Step 6: Final answer
    x = 1,748,397,409.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.