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Finding the Third Proportional to 14,588,280 and 31,745,214

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Solution

The third proportional to 14,588,280 and 31,745,214 is: 69,080,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588,280 : 31,745,214 = 31,745,214 : x
  2. Step 2: Convert to fraction form
    14,588,280/31,745,214 = 31,745,214/x
  3. Step 3: Cross multiply
    14,588,280x = 31,745,214 × 31,745,214
  4. Step 4: Simplify right side
    14,588,280x = 1,007,758,611,905,796
  5. Step 5: Solve for x
    x = 1,007,758,611,905,796/14,588,280
  6. Step 6: Final answer
    x = 69,080,015.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.