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Finding the Third Proportional to 14,646,264 and 31,896,288

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Solution

The third proportional to 14,646,264 and 31,896,288 is: 69,462,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646,264 : 31,896,288 = 31,896,288 : x
  2. Step 2: Convert to fraction form
    14,646,264/31,896,288 = 31,896,288/x
  3. Step 3: Cross multiply
    14,646,264x = 31,896,288 × 31,896,288
  4. Step 4: Simplify right side
    14,646,264x = 1,017,373,188,178,944
  5. Step 5: Solve for x
    x = 1,017,373,188,178,944/14,646,264
  6. Step 6: Final answer
    x = 69,462,983.06

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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.