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Finding the Third Proportional to 14,196,849 and 21,961,996.50

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Solution

The third proportional to 14,196,849 and 21,961,996.50 is: 33,974,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196,849 : 21,961,996.50 = 21,961,996.50 : x
  2. Step 2: Convert to fraction form
    14,196,849/21,961,996.50 = 21,961,996.50/x
  3. Step 3: Cross multiply
    14,196,849x = 21,961,996.50 × 21,961,996.50
  4. Step 4: Simplify right side
    14,196,849x = 482,329,290,266,012.25
  5. Step 5: Solve for x
    x = 482,329,290,266,012.25/14,196,849
  6. Step 6: Final answer
    x = 33,974,390.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.