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Finding the Third Proportional to 300,020,202 and 450,829,107

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Solution

The third proportional to 300,020,202 and 450,829,107 is: 677,443,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,020,202 : 450,829,107 = 450,829,107 : x
  2. Step 2: Convert to fraction form
    300,020,202/450,829,107 = 450,829,107/x
  3. Step 3: Cross multiply
    300,020,202x = 450,829,107 × 450,829,107
  4. Step 4: Simplify right side
    300,020,202x = 203,246,883,718,417,440
  5. Step 5: Solve for x
    x = 203,246,883,718,417,440/300,020,202
  6. Step 6: Final answer
    x = 677,443,993.32

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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.