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Finding the Third Proportional to 14,083,997 and 29,681,124.25

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Solution

The third proportional to 14,083,997 and 29,681,124.25 is: 62,551,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,083,997 : 29,681,124.25 = 29,681,124.25 : x
  2. Step 2: Convert to fraction form
    14,083,997/29,681,124.25 = 29,681,124.25/x
  3. Step 3: Cross multiply
    14,083,997x = 29,681,124.25 × 29,681,124.25
  4. Step 4: Simplify right side
    14,083,997x = 880,969,136,743,938
  5. Step 5: Solve for x
    x = 880,969,136,743,938/14,083,997
  6. Step 6: Final answer
    x = 62,551,073.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.