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Finding the Third Proportional to 13,982,897.25 and 32,961,570.75

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Solution

The third proportional to 13,982,897.25 and 32,961,570.75 is: 77,699,573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982,897.25 : 32,961,570.75 = 32,961,570.75 : x
  2. Step 2: Convert to fraction form
    13,982,897.25/32,961,570.75 = 32,961,570.75/x
  3. Step 3: Cross multiply
    13,982,897.25x = 32,961,570.75 × 32,961,570.75
  4. Step 4: Simplify right side
    13,982,897.25x = 1,086,465,146,307,255.50
  5. Step 5: Solve for x
    x = 1,086,465,146,307,255.50/13,982,897.25
  6. Step 6: Final answer
    x = 77,699,573.05

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.