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Finding the Third Proportional to 14,441,784 and 31,718,064

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Solution

The third proportional to 14,441,784 and 31,718,064 is: 69,661,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441,784 : 31,718,064 = 31,718,064 : x
  2. Step 2: Convert to fraction form
    14,441,784/31,718,064 = 31,718,064/x
  3. Step 3: Cross multiply
    14,441,784x = 31,718,064 × 31,718,064
  4. Step 4: Simplify right side
    14,441,784x = 1,006,035,583,908,096
  5. Step 5: Solve for x
    x = 1,006,035,583,908,096/14,441,784
  6. Step 6: Final answer
    x = 69,661,447.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.