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Finding the Third Proportional to 7,670,092 and 16,403,977

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Solution

The third proportional to 7,670,092 and 16,403,977 is: 35,083,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,092 : 16,403,977 = 16,403,977 : x
  2. Step 2: Convert to fraction form
    7,670,092/16,403,977 = 16,403,977/x
  3. Step 3: Cross multiply
    7,670,092x = 16,403,977 × 16,403,977
  4. Step 4: Simplify right side
    7,670,092x = 269,090,461,416,529
  5. Step 5: Solve for x
    x = 269,090,461,416,529/7,670,092
  6. Step 6: Final answer
    x = 35,083,081.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.