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Finding the Third Proportional to 14,652,912 and 21,540,327

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Solution

The third proportional to 14,652,912 and 21,540,327 is: 31,665,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652,912 : 21,540,327 = 21,540,327 : x
  2. Step 2: Convert to fraction form
    14,652,912/21,540,327 = 21,540,327/x
  3. Step 3: Cross multiply
    14,652,912x = 21,540,327 × 21,540,327
  4. Step 4: Simplify right side
    14,652,912x = 463,985,687,266,929
  5. Step 5: Solve for x
    x = 463,985,687,266,929/14,652,912
  6. Step 6: Final answer
    x = 31,665,083.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.