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Finding the Third Proportional to 300,020,200 and 450,829,104

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Solution

The third proportional to 300,020,200 and 450,829,104 is: 677,443,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020,200 : 450,829,104 = 450,829,104 : x
  2. Step 2: Convert to fraction form
    300,020,200/450,829,104 = 450,829,104/x
  3. Step 3: Cross multiply
    300,020,200x = 450,829,104 × 450,829,104
  4. Step 4: Simplify right side
    300,020,200x = 203,246,881,013,442,816
  5. Step 5: Solve for x
    x = 203,246,881,013,442,816/300,020,200
  6. Step 6: Final answer
    x = 677,443,988.82

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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.