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Finding the Third Proportional to 362,142,096 and 574,379,784

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Solution

The third proportional to 362,142,096 and 574,379,784 is: 911,001,896.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142,096 : 574,379,784 = 574,379,784 : x
  2. Step 2: Convert to fraction form
    362,142,096/574,379,784 = 574,379,784/x
  3. Step 3: Cross multiply
    362,142,096x = 574,379,784 × 574,379,784
  4. Step 4: Simplify right side
    362,142,096x = 329,912,136,267,886,656
  5. Step 5: Solve for x
    x = 329,912,136,267,886,656/362,142,096
  6. Step 6: Final answer
    x = 911,001,896.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.