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Finding the Third Proportional to 14,226,216 and 33,571,748.25

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Solution

The third proportional to 14,226,216 and 33,571,748.25 is: 79,224,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226,216 : 33,571,748.25 = 33,571,748.25 : x
  2. Step 2: Convert to fraction form
    14,226,216/33,571,748.25 = 33,571,748.25/x
  3. Step 3: Cross multiply
    14,226,216x = 33,571,748.25 × 33,571,748.25
  4. Step 4: Simplify right side
    14,226,216x = 1,127,062,280,561,378
  5. Step 5: Solve for x
    x = 1,127,062,280,561,378/14,226,216
  6. Step 6: Final answer
    x = 79,224,319.42

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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.