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Finding the Third Proportional to 10,618,061.25 and 16,396,503.75

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Solution

The third proportional to 10,618,061.25 and 16,396,503.75 is: 25,319,625.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618,061.25 : 16,396,503.75 = 16,396,503.75 : x
  2. Step 2: Convert to fraction form
    10,618,061.25/16,396,503.75 = 16,396,503.75/x
  3. Step 3: Cross multiply
    10,618,061.25x = 16,396,503.75 × 16,396,503.75
  4. Step 4: Simplify right side
    10,618,061.25x = 268,845,335,223,764.06
  5. Step 5: Solve for x
    x = 268,845,335,223,764.06/10,618,061.25
  6. Step 6: Final answer
    x = 25,319,625.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.