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Finding the Third Proportional to 14,538,257 and 31,716,922

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Solution

The third proportional to 14,538,257 and 31,716,922 is: 69,194,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538,257 : 31,716,922 = 31,716,922 : x
  2. Step 2: Convert to fraction form
    14,538,257/31,716,922 = 31,716,922/x
  3. Step 3: Cross multiply
    14,538,257x = 31,716,922 × 31,716,922
  4. Step 4: Simplify right side
    14,538,257x = 1,005,963,141,154,084
  5. Step 5: Solve for x
    x = 1,005,963,141,154,084/14,538,257
  6. Step 6: Final answer
    x = 69,194,205.41

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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.