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Finding the Third Proportional to 281,389,106 and 620,025,934

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Solution

The third proportional to 281,389,106 and 620,025,934 is: 1,366,194,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,389,106 : 620,025,934 = 620,025,934 : x
  2. Step 2: Convert to fraction form
    281,389,106/620,025,934 = 620,025,934/x
  3. Step 3: Cross multiply
    281,389,106x = 620,025,934 × 620,025,934
  4. Step 4: Simplify right side
    281,389,106x = 384,432,158,832,572,352
  5. Step 5: Solve for x
    x = 384,432,158,832,572,352/281,389,106
  6. Step 6: Final answer
    x = 1,366,194,179.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.