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Finding the Third Proportional to 14,376,816 and 31,273,056

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Solution

The third proportional to 14,376,816 and 31,273,056 is: 68,026,469.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376,816 : 31,273,056 = 31,273,056 : x
  2. Step 2: Convert to fraction form
    14,376,816/31,273,056 = 31,273,056/x
  3. Step 3: Cross multiply
    14,376,816x = 31,273,056 × 31,273,056
  4. Step 4: Simplify right side
    14,376,816x = 978,004,031,579,136
  5. Step 5: Solve for x
    x = 978,004,031,579,136/14,376,816
  6. Step 6: Final answer
    x = 68,026,469.25

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Why These Related Problems?

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