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Finding the Third Proportional to 14,217,996 and 31,216,128

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Solution

The third proportional to 14,217,996 and 31,216,128 is: 68,536,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217,996 : 31,216,128 = 31,216,128 : x
  2. Step 2: Convert to fraction form
    14,217,996/31,216,128 = 31,216,128/x
  3. Step 3: Cross multiply
    14,217,996x = 31,216,128 × 31,216,128
  4. Step 4: Simplify right side
    14,217,996x = 974,446,647,312,384
  5. Step 5: Solve for x
    x = 974,446,647,312,384/14,217,996
  6. Step 6: Final answer
    x = 68,536,145.83

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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.