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Finding the Third Proportional to 8,147,776.50 and 17,696,812.50

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Solution

The third proportional to 8,147,776.50 and 17,696,812.50 is: 38,437,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147,776.50 : 17,696,812.50 = 17,696,812.50 : x
  2. Step 2: Convert to fraction form
    8,147,776.50/17,696,812.50 = 17,696,812.50/x
  3. Step 3: Cross multiply
    8,147,776.50x = 17,696,812.50 × 17,696,812.50
  4. Step 4: Simplify right side
    8,147,776.50x = 313,177,172,660,156.25
  5. Step 5: Solve for x
    x = 313,177,172,660,156.25/8,147,776.50
  6. Step 6: Final answer
    x = 38,437,133.45

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