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Finding the Third Proportional to 446,108,527 and 966,330,110

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Solution

The third proportional to 446,108,527 and 966,330,110 is: 2,093,198,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,108,527 : 966,330,110 = 966,330,110 : x
  2. Step 2: Convert to fraction form
    446,108,527/966,330,110 = 966,330,110/x
  3. Step 3: Cross multiply
    446,108,527x = 966,330,110 × 966,330,110
  4. Step 4: Simplify right side
    446,108,527x = 933,793,881,492,612,096
  5. Step 5: Solve for x
    x = 933,793,881,492,612,096/446,108,527
  6. Step 6: Final answer
    x = 2,093,198,907.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.