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Finding the Third Proportional to 13,802,400 and 29,032,647.75

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Solution

The third proportional to 13,802,400 and 29,032,647.75 is: 61,068,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802,400 : 29,032,647.75 = 29,032,647.75 : x
  2. Step 2: Convert to fraction form
    13,802,400/29,032,647.75 = 29,032,647.75/x
  3. Step 3: Cross multiply
    13,802,400x = 29,032,647.75 × 29,032,647.75
  4. Step 4: Simplify right side
    13,802,400x = 842,894,635,375,580
  5. Step 5: Solve for x
    x = 842,894,635,375,580/13,802,400
  6. Step 6: Final answer
    x = 61,068,700.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.