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Finding the Third Proportional to 1,650,463,894 and 2,469,152,062

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Solution

The third proportional to 1,650,463,894 and 2,469,152,062 is: 3,693,938,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,463,894 : 2,469,152,062 = 2,469,152,062 : x
  2. Step 2: Convert to fraction form
    1,650,463,894/2,469,152,062 = 2,469,152,062/x
  3. Step 3: Cross multiply
    1,650,463,894x = 2,469,152,062 × 2,469,152,062
  4. Step 4: Simplify right side
    1,650,463,894x = 6,096,711,905,278,852,096
  5. Step 5: Solve for x
    x = 6,096,711,905,278,852,096/1,650,463,894
  6. Step 6: Final answer
    x = 3,693,938,369.35

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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.