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Finding the Third Proportional to 14,648,647.50 and 31,819,230

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Solution

The third proportional to 14,648,647.50 and 31,819,230 is: 69,116,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648,647.50 : 31,819,230 = 31,819,230 : x
  2. Step 2: Convert to fraction form
    14,648,647.50/31,819,230 = 31,819,230/x
  3. Step 3: Cross multiply
    14,648,647.50x = 31,819,230 × 31,819,230
  4. Step 4: Simplify right side
    14,648,647.50x = 1,012,463,397,792,900
  5. Step 5: Solve for x
    x = 1,012,463,397,792,900/14,648,647.50
  6. Step 6: Final answer
    x = 69,116,510.44

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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.