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Finding the Third Proportional to 10,284,977 and 21,936,829

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Solution

The third proportional to 10,284,977 and 21,936,829 is: 46,789,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284,977 : 21,936,829 = 21,936,829 : x
  2. Step 2: Convert to fraction form
    10,284,977/21,936,829 = 21,936,829/x
  3. Step 3: Cross multiply
    10,284,977x = 21,936,829 × 21,936,829
  4. Step 4: Simplify right side
    10,284,977x = 481,224,466,575,241
  5. Step 5: Solve for x
    x = 481,224,466,575,241/10,284,977
  6. Step 6: Final answer
    x = 46,789,065.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.