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Finding the Third Proportional to 5,302,098 and 8,409,136.50

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Solution

The third proportional to 5,302,098 and 8,409,136.50 is: 13,336,904.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,098 : 8,409,136.50 = 8,409,136.50 : x
  2. Step 2: Convert to fraction form
    5,302,098/8,409,136.50 = 8,409,136.50/x
  3. Step 3: Cross multiply
    5,302,098x = 8,409,136.50 × 8,409,136.50
  4. Step 4: Simplify right side
    5,302,098x = 70,713,576,675,632.25
  5. Step 5: Solve for x
    x = 70,713,576,675,632.25/5,302,098
  6. Step 6: Final answer
    x = 13,336,904.88

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