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Finding the Third Proportional to 50,581,746 and 119,365,569

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Solution

The third proportional to 50,581,746 and 119,365,569 is: 281,685,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,581,746 : 119,365,569 = 119,365,569 : x
  2. Step 2: Convert to fraction form
    50,581,746/119,365,569 = 119,365,569/x
  3. Step 3: Cross multiply
    50,581,746x = 119,365,569 × 119,365,569
  4. Step 4: Simplify right side
    50,581,746x = 14,248,139,062,693,760
  5. Step 5: Solve for x
    x = 14,248,139,062,693,760/50,581,746
  6. Step 6: Final answer
    x = 281,685,394.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.