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Finding the Third Proportional to 7,670,094 and 16,403,982

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Solution

The third proportional to 7,670,094 and 16,403,982 is: 35,083,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,094 : 16,403,982 = 16,403,982 : x
  2. Step 2: Convert to fraction form
    7,670,094/16,403,982 = 16,403,982/x
  3. Step 3: Cross multiply
    7,670,094x = 16,403,982 × 16,403,982
  4. Step 4: Simplify right side
    7,670,094x = 269,090,625,456,324
  5. Step 5: Solve for x
    x = 269,090,625,456,324/7,670,094
  6. Step 6: Final answer
    x = 35,083,093.57

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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.